405052032 has 384 divisors, whose sum is σ = 1451174400. Its totient is φ = 98703360.

The previous prime is 405052027. The next prime is 405052033. The reversal of 405052032 is 230250504.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (405052033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3932493 + ... + 3932595.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2^405052032 is an apocalyptic number.

405052032 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 405052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725587200).

405052032 is an abundant number, since it is smaller than the sum of its proper divisors (1046122368).

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

405052032 is a wasteful number, since it uses less digits than its factorization.

405052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 405052032 is about 20125.9045014131. The cubic root of 405052032 is about 739.8953053736.

The spelling of 405052032 in words is "four hundred five million, fifty-two thousand, thirty-two".