401424000 has 128 divisors (see below), whose sum is σ = 1330879680. Its totient is φ = 107033600.

The previous prime is 401423983. The next prime is 401424019. The reversal of 401424000 is 424104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×401424000² = 322282455552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43819 + ... + 52181.

Almost surely, 2^401424000 is an apocalyptic number.

401424000 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 401424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665439840).

401424000 is an abundant number, since it is smaller than the sum of its proper divisors (929455680).

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

401424000 is an equidigital number, since it uses as much as digits as its factorization.

401424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 401424000 is about 20035.5683722723. The cubic root of 401424000 is about 737.6796076967.

Adding to 401424000 its reverse (424104), we get a palindrome (401848104).

The spelling of 401424000 in words is "four hundred one million, four hundred twenty-four thousand".