420153315 has 32 divisors (see below), whose sum is σ = 700780800. Its totient is φ = 214752384.

The previous prime is 420153271. The next prime is 420153319. The reversal of 420153315 is 513351024.

It is not a de Polignac number, because 420153315 - 2⁷ = 420153187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420153319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31536 + ... + 42834.

It is an arithmetic number, because the mean of its divisors is an integer number (21899400).

Almost surely, 2^420153315 is an apocalyptic number.

420153315 is a deficient number, since it is larger than the sum of its proper divisors (280627485).

420153315 is a wasteful number, since it uses less digits than its factorization.

420153315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11411.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 420153315 is about 20497.6416936193. The cubic root of 420153315 is about 748.9783511657.

It can be divided in two parts, 420 and 153315, that added together give a triangular number (153735 = T₅₅₄).

The spelling of 420153315 in words is "four hundred twenty million, one hundred fifty-three thousand, three hundred fifteen".