420952392 has 96 divisors (see below), whose sum is σ = 1305982080. Its totient is φ = 119992320.

The previous prime is 420952381. The next prime is 420952403. The reversal of 420952392 is 293259024.

420952392 is a `hidden beast` number, since 42 + 0 + 9 + 523 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (420952381) and next prime (420952403).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 322413 + ... + 323715.

It is an arithmetic number, because the mean of its divisors is an integer number (13603980).

Almost surely, 2^420952392 is an apocalyptic number.

420952392 is a gapful number since it is divisible by the number (42) 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 420952392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652991040).

420952392 is an abundant number, since it is smaller than the sum of its proper divisors (885029688).

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

420952392 is a wasteful number, since it uses less digits than its factorization.

420952392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 420952392 is about 20517.1243599097. The cubic root of 420952392 is about 749.4528702958.

The spelling of 420952392 in words is "four hundred twenty million, nine hundred fifty-two thousand, three hundred ninety-two".