464476328000 has 56 divisors (see below), whose sum is σ = 1150275646104. Its totient is φ = 185790528000.

The previous prime is 464476327981. The next prime is 464476328009. The reversal of 464476328000 is 823674464.

It can be written as a sum of positive squares in 4 ways, for example, as 19074924544 + 445401403456 = 138112^2 + 667384^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (464476328009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29021771 + ... + 29037770.

Almost surely, 2^464476328000 is an apocalyptic number.

464476328000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464476328000 is an abundant number, since it is smaller than the sum of its proper divisors (685799318104).

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

464476328000 is an equidigital number, since it uses as much as digits as its factorization.

464476328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58059568 (or 58059548 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 464476328000 in words is "four hundred sixty-four billion, four hundred seventy-six million, three hundred twenty-eight thousand".