401515224 has 128 divisors (see below), whose sum is σ = 1147944960. Its totient is φ = 115920000.

The previous prime is 401515211. The next prime is 401515241. The reversal of 401515224 is 422515104.

It is a super-2 number, since 2×401515224² = 322428950207540352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 401515194 and 401515203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580719 + ... + 581409.

It is an arithmetic number, because the mean of its divisors is an integer number (8968320).

Almost surely, 2^401515224 is an apocalyptic number.

401515224 is a gapful number since it is divisible by the number (44) 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 401515224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573972480).

401515224 is an abundant number, since it is smaller than the sum of its proper divisors (746429736).

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

401515224 is a wasteful number, since it uses less digits than its factorization.

401515224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 401515224 is about 20037.8447942886. The cubic root of 401515224 is about 737.7354829372.

The spelling of 401515224 in words is "four hundred one million, five hundred fifteen thousand, two hundred twenty-four".