477469440 has 432 divisors, whose sum is σ = 1959100416. Its totient is φ = 105062400.

The previous prime is 477469379. The next prime is 477469451. The reversal of 477469440 is 44964774.

It is a super-2 number, since 2×477469440² = 455954132267827200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499745 + ... + 2499935.

Almost surely, 2^477469440 is an apocalyptic number.

477469440 is a gapful number since it is divisible by the number (40) 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 477469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979550208).

477469440 is an abundant number, since it is smaller than the sum of its proper divisors (1481630976).

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

477469440 is a wasteful number, since it uses less digits than its factorization.

477469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 477469440 is about 21851.0741154754. The cubic root of 477469440 is about 781.5951576516.

The spelling of 477469440 in words is "four hundred seventy-seven million, four hundred sixty-nine thousand, four hundred forty".