401497600 has 120 divisors (see below), whose sum is σ = 1137101328. Its totient is φ = 137625600.

The previous prime is 401497597. The next prime is 401497609. The reversal of 401497600 is 6794104.

It is a super-2 number, since 2×401497600² = 322400645611520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401497609) 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, 87360 + ... + 91840.

Almost surely, 2^401497600 is an apocalyptic number.

401497600 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 401497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568550664).

401497600 is an abundant number, since it is smaller than the sum of its proper divisors (735603728).

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

401497600 is an equidigital number, since it uses as much as digits as its factorization.

401497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 401497600 is about 20037.4050216090. The cubic root of 401497600 is about 737.7246887924.

The spelling of 401497600 in words is "four hundred one million, four hundred ninety-seven thousand, six hundred".