462040880800 has 72 divisors (see below), whose sum is σ = 1141547311296. Its totient is φ = 182589623040.

The previous prime is 462040880761. The next prime is 462040880803. The reversal of 462040880800 is 8088040264.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (462040880803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3412824 + ... + 3545623.

It is an arithmetic number, because the mean of its divisors is an integer number (15854823768).

Almost surely, 2^462040880800 is an apocalyptic number.

462040880800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462040880800 is an abundant number, since it is smaller than the sum of its proper divisors (679506430496).

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

462040880800 is a wasteful number, since it uses less digits than its factorization.

462040880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958550 (or 6958537 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 462040880800 in words is "four hundred sixty-two billion, forty million, eight hundred eighty thousand, eight hundred".