420363152 has 40 divisors (see below), whose sum is σ = 891103680. Its totient is φ = 190513280.

The previous prime is 420363113. The next prime is 420363161. The reversal of 420363152 is 251363024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59858 + ... + 66510.

It is an arithmetic number, because the mean of its divisors is an integer number (22277592).

Almost surely, 2^420363152 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 420363152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445551840).

420363152 is an abundant number, since it is smaller than the sum of its proper divisors (470740528).

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

420363152 is a wasteful number, since it uses less digits than its factorization.

420363152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 420363152 is about 20502.7596191342. The cubic root of 420363152 is about 749.1030177322.

The spelling of 420363152 in words is "four hundred twenty million, three hundred sixty-three thousand, one hundred fifty-two".