400117536 has 288 divisors, whose sum is σ = 1463978880. Its totient is φ = 105380352.

The previous prime is 400117517. The next prime is 400117607. The reversal of 400117536 is 635711004.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×400117536² = 320188085229422592, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550005 + ... + 550731.

It is an arithmetic number, because the mean of its divisors is an integer number (5083260).

Almost surely, 2^400117536 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 400117536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

400117536 is an abundant number, since it is smaller than the sum of its proper divisors (1063861344).

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

400117536 is a wasteful number, since it uses less digits than its factorization.

400117536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 400117536 is about 20002.9381841768. The cubic root of 400117536 is about 736.8784603817.

The spelling of 400117536 in words is "four hundred million, one hundred seventeen thousand, five hundred thirty-six".