401424320 has 56 divisors (see below), whose sum is σ = 1042800048. Its totient is φ = 145971200.

The previous prime is 401424319. The next prime is 401424323. The reversal of 401424320 is 23424104.

It is a super-2 number, since 2×401424320² = 322282969374924800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 401424292 and 401424301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401424323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53501 + ... + 60540.

Almost surely, 2^401424320 is an apocalyptic number.

401424320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401424320 is an abundant number, since it is smaller than the sum of its proper divisors (641375728).

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

401424320 is a wasteful number, since it uses less digits than its factorization.

401424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114069 (or 114059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 401424320 is about 20035.5763580687. The cubic root of 401424320 is about 737.6798037134.

Adding to 401424320 its reverse (23424104), we get a palindrome (424848424).

The spelling of 401424320 in words is "four hundred one million, four hundred twenty-four thousand, three hundred twenty".