400724352 has 288 divisors, whose sum is σ = 1390708800. Its totient is φ = 110315520.

The previous prime is 400724333. The next prime is 400724371. The reversal of 400724352 is 253427004.

It is an interprime number because it is at equal distance from previous prime (400724333) and next prime (400724371).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1749774 + ... + 1750002.

It is an arithmetic number, because the mean of its divisors is an integer number (4828850).

Almost surely, 2^400724352 is an apocalyptic number.

400724352 is a gapful number since it is divisible by the number (42) 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 400724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695354400).

400724352 is an abundant number, since it is smaller than the sum of its proper divisors (989984448).

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

400724352 is a wasteful number, since it uses less digits than its factorization.

400724352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 400724352 is about 20018.1006091987. The cubic root of 400724352 is about 737.2507874620.

The spelling of 400724352 in words is "four hundred million, seven hundred twenty-four thousand, three hundred fifty-two".