467770400 has 36 divisors (see below), whose sum is σ = 1141946442. Its totient is φ = 187107840.

The previous prime is 467770397. The next prime is 467770463. The reversal of 467770400 is 4077764.

It can be written as a sum of positive squares in 3 ways, for example, as 431143696 + 36626704 = 20764^2 + 6052^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 291557 + ... + 293156.

Almost surely, 2^467770400 is an apocalyptic number.

467770400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

467770400 is an abundant number, since it is smaller than the sum of its proper divisors (674176042).

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

467770400 is a wasteful number, since it uses less digits than its factorization.

467770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584733 (or 584720 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 467770400 is about 21628.0003698909. Note that the first 3 decimals coincide. The cubic root of 467770400 is about 776.2666211047.

The spelling of 467770400 in words is "four hundred sixty-seven million, seven hundred seventy thousand, four hundred".