420996528 has 240 divisors, whose sum is σ = 1326998400. Its totient is φ = 128770560.

The previous prime is 420996503. The next prime is 420996533. The reversal of 420996528 is 825699024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3028683 + ... + 3028821.

It is an arithmetic number, because the mean of its divisors is an integer number (5529160).

Almost surely, 2^420996528 is an apocalyptic number.

420996528 is a gapful number since it is divisible by the number (48) 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 420996528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663499200).

420996528 is an abundant number, since it is smaller than the sum of its proper divisors (906001872).

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

420996528 is a wasteful number, since it uses less digits than its factorization.

420996528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 420996528 is about 20518.1999210457. The cubic root of 420996528 is about 749.4790622489.

The spelling of 420996528 in words is "four hundred twenty million, nine hundred ninety-six thousand, five hundred twenty-eight".