400716288 has 320 divisors, whose sum is σ = 1402410240. Its totient is φ = 110592000.

The previous prime is 400716241. The next prime is 400716301. The reversal of 400716288 is 882617004.

It is a super-3 number, since 3×400716288³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3967438 + ... + 3967538.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2^400716288 is an apocalyptic number.

400716288 is a gapful number since it is divisible by the number (48) 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 400716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701205120).

400716288 is an abundant number, since it is smaller than the sum of its proper divisors (1001693952).

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

400716288 is a wasteful number, since it uses less digits than its factorization.

400716288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 400716288 is about 20017.8991904745. The cubic root of 400716288 is about 737.2458420590.

The spelling of 400716288 in words is "four hundred million, seven hundred sixteen thousand, two hundred eighty-eight".