400845312 has 360 divisors, whose sum is σ = 1437143136. Its totient is φ = 105283584.

The previous prime is 400845301. The next prime is 400845323. The reversal of 400845312 is 213548004.

It is an interprime number because it is at equal distance from previous prime (400845301) and next prime (400845323).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9321963 + ... + 9322005.

Almost surely, 2^400845312 is an apocalyptic number.

400845312 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 400845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718571568).

400845312 is an abundant number, since it is smaller than the sum of its proper divisors (1036297824).

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

400845312 is a wasteful number, since it uses less digits than its factorization.

400845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 400845312 is about 20021.1216469008. The cubic root of 400845312 is about 737.3249605467.

The spelling of 400845312 in words is "four hundred million, eight hundred forty-five thousand, three hundred twelve".