402724224 has 320 divisors, whose sum is σ = 1421798400. Its totient is φ = 110730240.

The previous prime is 402724213. The next prime is 402724253. The reversal of 402724224 is 422427204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249767 + ... + 2249945.

It is an arithmetic number, because the mean of its divisors is an integer number (4443120).

Almost surely, 2^402724224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402724224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710899200).

402724224 is an abundant number, since it is smaller than the sum of its proper divisors (1019074176).

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

402724224 is a wasteful number, since it uses less digits than its factorization.

402724224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 402724224 is about 20067.9900338823. The cubic root of 402724224 is about 738.4752045548.

The spelling of 402724224 in words is "four hundred two million, seven hundred twenty-four thousand, two hundred twenty-four".