400085972 has 96 divisors (see below), whose sum is σ = 863654400. Its totient is φ = 159667200.

The previous prime is 400085971. The next prime is 400085999. The reversal of 400085972 is 279580004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400085971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476197 + ... + 1476467.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2^400085972 is an apocalyptic number.

It is an amenable number.

400085972 is an abundant number, since it is smaller than the sum of its proper divisors (463568428).

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

400085972 is a wasteful number, since it uses less digits than its factorization.

400085972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 400085972 is about 20002.1491845251. The cubic root of 400085972 is about 736.8590832060.

The spelling of 400085972 in words is "four hundred million, eighty-five thousand, nine hundred seventy-two".