401430400 has 96 divisors (see below), whose sum is σ = 1133387280. Its totient is φ = 137625600.

The previous prime is 401430397. The next prime is 401430451. The reversal of 401430400 is 4034104.

It is a super-2 number, since 2×401430400² = 322292732088320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 13440 + ... + 31360.

Almost surely, 2^401430400 is an apocalyptic number.

401430400 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 401430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566693640).

401430400 is an abundant number, since it is smaller than the sum of its proper divisors (731956880).

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

401430400 is a wasteful number, since it uses less digits than its factorization.

401430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17952 (or 17935 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 401430400 is about 20035.7280875939. The cubic root of 401430400 is about 737.6835280107.

Adding to 401430400 its reverse (4034104), we get a palindrome (405464504).

The spelling of 401430400 in words is "four hundred one million, four hundred thirty thousand, four hundred".