402522120 has 384 divisors, whose sum is σ = 1758032640. Its totient is φ = 77137920.

The previous prime is 402522101. The next prime is 402522137. The reversal of 402522120 is 21225204.

402522120 is a `hidden beast` number, since 402 + 52 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402522093 and 402522102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359802 + ... + 360918.

It is an arithmetic number, because the mean of its divisors is an integer number (4578210).

Almost surely, 2^402522120 is an apocalyptic number.

402522120 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 402522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879016320).

402522120 is an abundant number, since it is smaller than the sum of its proper divisors (1355510520).

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

402522120 is a wasteful number, since it uses less digits than its factorization.

402522120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 402522120 is about 20062.9539200986. The cubic root of 402522120 is about 738.3516512171.

Adding to 402522120 its reverse (21225204), we get a palindrome (423747324).

The spelling of 402522120 in words is "four hundred two million, five hundred twenty-two thousand, one hundred twenty".