400253316 has 96 divisors (see below), whose sum is σ = 1029611520. Its totient is φ = 120556800.

The previous prime is 400253311. The next prime is 400253317. The reversal of 400253316 is 613352004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (400253311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438901 + ... + 439811.

It is an arithmetic number, because the mean of its divisors is an integer number (10725120).

Almost surely, 2^400253316 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 400253316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

400253316 is an abundant number, since it is smaller than the sum of its proper divisors (629358204).

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

400253316 is a wasteful number, since it uses less digits than its factorization.

400253316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 400253316 is about 20006.3318976768. The cubic root of 400253316 is about 736.9618042601.

The spelling of 400253316 in words is "four hundred million, two hundred fifty-three thousand, three hundred sixteen".