405456920232 has 128 divisors (see below), whose sum is σ = 1247990956800. Its totient is φ = 106896734208.

The previous prime is 405456920203. The next prime is 405456920243. The reversal of 405456920232 is 232029654504.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6602244 + ... + 6663372.

It is an arithmetic number, because the mean of its divisors is an integer number (9749929350).

Almost surely, 2^405456920232 is an apocalyptic number.

405456920232 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 405456920232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623995478400).

405456920232 is an abundant number, since it is smaller than the sum of its proper divisors (842534036568).

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

405456920232 is a wasteful number, since it uses less digits than its factorization.

405456920232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64195 (or 64191 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 405456920232 in words is "four hundred five billion, four hundred fifty-six million, nine hundred twenty thousand, two hundred thirty-two".