402513120 has 72 divisors (see below), whose sum is σ = 1373580936. Its totient is φ = 107336448.

The previous prime is 402513107. The next prime is 402513151. The reversal of 402513120 is 21315204.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 402513093 and 402513102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138322 + ... + 141201.

It is an arithmetic number, because the mean of its divisors is an integer number (19077513).

Almost surely, 2^402513120 is an apocalyptic number.

402513120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402513120 is an abundant number, since it is smaller than the sum of its proper divisors (971067816).

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

402513120 is a wasteful number, since it uses less digits than its factorization.

402513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279544 (or 279533 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 402513120 is about 20062.7296248541. The cubic root of 402513120 is about 738.3461482364.

Adding to 402513120 its reverse (21315204), we get a palindrome (423828324).

The spelling of 402513120 in words is "four hundred two million, five hundred thirteen thousand, one hundred twenty".