401544400 has 60 divisors (see below), whose sum is σ = 979174432. Its totient is φ = 158209920.

The previous prime is 401544371. The next prime is 401544431. The reversal of 401544400 is 4445104.

It is a super-2 number, since 2×401544400² = 322475810342720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19309 + ... + 34291.

Almost surely, 2^401544400 is an apocalyptic number.

401544400 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 401544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489587216).

401544400 is an abundant number, since it is smaller than the sum of its proper divisors (577630032).

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

401544400 is a wasteful number, since it uses less digits than its factorization.

401544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15068 (or 15057 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 401544400 is about 20038.5728034708. The cubic root of 401544400 is about 737.7533516238.

Adding to 401544400 its reverse (4445104), we get a palindrome (405989504).

The spelling of 401544400 in words is "four hundred one million, five hundred forty-four thousand, four hundred".