401300400 has 120 divisors (see below), whose sum is σ = 1295412624. Its totient is φ = 106188800.

The previous prime is 401300369. The next prime is 401300401. The reversal of 401300400 is 4003104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×401300400² = 322084022080320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (401300401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163180 + ... + 165620.

Almost surely, 2^401300400 is an apocalyptic number.

401300400 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 401300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647706312).

401300400 is an abundant number, since it is smaller than the sum of its proper divisors (894112224).

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

401300400 is a wasteful number, since it uses less digits than its factorization.

401300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 401300400 is about 20032.4836203602. The cubic root of 401300400 is about 737.6038884580.

Adding to 401300400 its reverse (4003104), we get a palindrome (405303504).

The spelling of 401300400 in words is "four hundred one million, three hundred thousand, four hundred".