1476013440 has 256 divisors, whose sum is σ = 5435735040. Its totient is φ = 336691200.

The previous prime is 1476013439. The next prime is 1476013453. The reversal of 1476013440 is 443106741.

1476013440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1476013398 and 1476013407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356985 + ... + 361095.

It is an arithmetic number, because the mean of its divisors is an integer number (21233340).

Almost surely, 2^1476013440 is an apocalyptic number.

1476013440 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 1476013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717867520).

1476013440 is an abundant number, since it is smaller than the sum of its proper divisors (3959721600).

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

1476013440 is a wasteful number, since it uses less digits than its factorization.

1476013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1476013440 is about 38418.9203388122. The cubic root of 1476013440 is about 1138.5797024435.

The spelling of 1476013440 in words is "one billion, four hundred seventy-six million, thirteen thousand, four hundred forty".