462804804 has 432 divisors, whose sum is σ = 1667143296. Its totient is φ = 106444800.

The previous prime is 462804803. The next prime is 462804841. The reversal of 462804804 is 408408264.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (462804803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7586934 + ... + 7586994.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^462804804 is an apocalyptic number.

462804804 is a gapful number since it is divisible by the number (44) 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 462804804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

462804804 is an abundant number, since it is smaller than the sum of its proper divisors (1204338492).

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

462804804 is a wasteful number, since it uses less digits than its factorization.

462804804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 462804804 is about 21512.8985494749. The cubic root of 462804804 is about 773.5100358368.

The spelling of 462804804 in words is "four hundred sixty-two million, eight hundred four thousand, eight hundred four".