400958496 has 72 divisors (see below), whose sum is σ = 1154724480. Its totient is φ = 131953536.

The previous prime is 400958479. The next prime is 400958497. The reversal of 400958496 is 694859004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (400958497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13941 + ... + 31563.

It is an arithmetic number, because the mean of its divisors is an integer number (16037840).

Almost surely, 2^400958496 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 400958496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577362240).

400958496 is an abundant number, since it is smaller than the sum of its proper divisors (753765984).

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

400958496 is a wasteful number, since it uses less digits than its factorization.

400958496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17718 (or 17707 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 400958496 is about 20023.9480622579. The cubic root of 400958496 is about 737.3943518491.

The spelling of 400958496 in words is "four hundred million, nine hundred fifty-eight thousand, four hundred ninety-six".