401539200 has 192 divisors, whose sum is σ = 1336134720. Its totient is φ = 105984000.

The previous prime is 401539181. The next prime is 401539219. The reversal of 401539200 is 2935104.

It is an interprime number because it is at equal distance from previous prime (401539181) and next prime (401539219).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×401539200² = 322467458273280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449462 + ... + 1449738.

It is an arithmetic number, because the mean of its divisors is an integer number (6959035).

Almost surely, 2^401539200 is an apocalyptic number.

401539200 is a gapful number since it is divisible by the number (40) 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 401539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668067360).

401539200 is an abundant number, since it is smaller than the sum of its proper divisors (934595520).

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

401539200 is a wasteful number, since it uses less digits than its factorization.

401539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 401539200 is about 20038.4430532913. The cubic root of 401539200 is about 737.7501669747.

The spelling of 401539200 in words is "four hundred one million, five hundred thirty-nine thousand, two hundred".