400353408 has 512 divisors, whose sum is σ = 1553664000. Its totient is φ = 98537472.

The previous prime is 400353367. The next prime is 400353413. The reversal of 400353408 is 804353004.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 5975391 + ... + 5975457.

It is an arithmetic number, because the mean of its divisors is an integer number (3034500).

Almost surely, 2^400353408 is an apocalyptic number.

400353408 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 400353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776832000).

400353408 is an abundant number, since it is smaller than the sum of its proper divisors (1153310592).

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

400353408 is a wasteful number, since it uses less digits than its factorization.

400353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 400353408 is about 20008.8332493427. The cubic root of 400353408 is about 737.0232302205.

The spelling of 400353408 in words is "four hundred million, three hundred fifty-three thousand, four hundred eight".