420012960 has 48 divisors (see below), whose sum is σ = 1323042336. Its totient is φ = 112003328.

The previous prime is 420012953. The next prime is 420012973. The reversal of 420012960 is 69210024.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 420012960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437034 + ... + 437993.

It is an arithmetic number, because the mean of its divisors is an integer number (27563382).

Almost surely, 2^420012960 is an apocalyptic number.

420012960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420012960 is an abundant number, since it is smaller than the sum of its proper divisors (903029376).

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

420012960 is a wasteful number, since it uses less digits than its factorization.

420012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875045 (or 875037 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 420012960 is about 20494.2177211037. The cubic root of 420012960 is about 748.8949414828.

Adding to 420012960 its reverse (69210024), we get a palindrome (489222984).

The spelling of 420012960 in words is "four hundred twenty million, twelve thousand, nine hundred sixty".