400560336 has 240 divisors, whose sum is σ = 1292972800. Its totient is φ = 118609920.

The previous prime is 400560313. The next prime is 400560359. The reversal of 400560336 is 633065004.

It is an interprime number because it is at equal distance from previous prime (400560313) and next prime (400560359).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4129440 + ... + 4129536.

Almost surely, 2^400560336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400560336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646486400).

400560336 is an abundant number, since it is smaller than the sum of its proper divisors (892412464).

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

400560336 is a wasteful number, since it uses less digits than its factorization.

400560336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 400560336 is about 20014.0034975514. The cubic root of 400560336 is about 737.1501884460.

The spelling of 400560336 in words is "four hundred million, five hundred sixty thousand, three hundred thirty-six".