477435281232 has 480 divisors, whose sum is σ = 1573954260480. Its totient is φ = 123587251200.

The previous prime is 477435281227. The next prime is 477435281329. The reversal of 477435281232 is 232182534774.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454267107 + ... + 454268157.

It is an arithmetic number, because the mean of its divisors is an integer number (3279071376).

Almost surely, 2^477435281232 is an apocalyptic number.

477435281232 is a gapful number since it is divisible by the number (42) 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 477435281232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786977130240).

477435281232 is an abundant number, since it is smaller than the sum of its proper divisors (1096518979248).

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

477435281232 is a wasteful number, since it uses less digits than its factorization.

477435281232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1338 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

It can be divided in two parts, 4774352 and 81232, that added together give a palindrome (4855584).

The spelling of 477435281232 in words is "four hundred seventy-seven billion, four hundred thirty-five million, two hundred eighty-one thousand, two hundred thirty-two".