1476640440 has 288 divisors, whose sum is σ = 5340535200. Its totient is φ = 353548800.

The previous prime is 1476640439. The next prime is 1476640441. The reversal of 1476640440 is 440466741.

1476640440 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 640 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1476640439) and next prime (1476640441).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1476640395 and 1476640404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1476640441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4747885 + ... + 4748195.

It is an arithmetic number, because the mean of its divisors is an integer number (18543525).

Almost surely, 2^1476640440 is an apocalyptic number.

1476640440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1476640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670267600).

1476640440 is an abundant number, since it is smaller than the sum of its proper divisors (3863894760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1476640440 is a wasteful number, since it uses less digits than its factorization.

1476640440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1476640440 is about 38427.0795143217. The cubic root of 1476640440 is about 1138.7408998041.

The spelling of 1476640440 in words is "one billion, four hundred seventy-six million, six hundred forty thousand, four hundred forty".