1476397440 has 288 divisors, whose sum is σ = 5931675360. Its totient is φ = 337397760.

The previous prime is 1476397411. The next prime is 1476397441. The reversal of 1476397440 is 447936741.

1476397440 is a `hidden beast` number, since 1 + 4 + 7 + 639 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1476397441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279625 + ... + 284855.

It is an arithmetic number, because the mean of its divisors is an integer number (20596095).

Almost surely, 2^1476397440 is an apocalyptic number.

1476397440 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 1476397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965837680).

1476397440 is an abundant number, since it is smaller than the sum of its proper divisors (4455277920).

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

1476397440 is a wasteful number, since it uses less digits than its factorization.

1476397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1476397440 is about 38423.9175514418. The cubic root of 1476397440 is about 1138.6784316023.

The spelling of 1476397440 in words is "one billion, four hundred seventy-six million, three hundred ninety-seven thousand, four hundred forty".