477503040 has 168 divisors, whose sum is σ = 1763767872. Its totient is φ = 109132800.

The previous prime is 477503027. The next prime is 477503071. The reversal of 477503040 is 40305774.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 477502989 and 477503007.

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 23 ways as a sum of consecutive naturals, for example, 41965 + ... + 52115.

Almost surely, 2^477503040 is an apocalyptic number.

477503040 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 477503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881883936).

477503040 is an abundant number, since it is smaller than the sum of its proper divisors (1286264832).

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

477503040 is a wasteful number, since it uses less digits than its factorization.

477503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 477503040 is about 21851.8429428733. The cubic root of 477503040 is about 781.6134910981.

477503040 divided by its product of nonzero digits (11760) gives a palindrome (40604).

The spelling of 477503040 in words is "four hundred seventy-seven million, five hundred three thousand, forty".