420302496 has 96 divisors (see below), whose sum is σ = 1170892800. Its totient is φ = 131639040.

The previous prime is 420302473. The next prime is 420302507. The reversal of 420302496 is 694203024.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238065 + ... + 239823.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2^420302496 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 420302496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585446400).

420302496 is an abundant number, since it is smaller than the sum of its proper divisors (750590304).

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

420302496 is a wasteful number, since it uses less digits than its factorization.

420302496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 420302496 is about 20501.2803502611. The cubic root of 420302496 is about 749.0669855712.

The spelling of 420302496 in words is "four hundred twenty million, three hundred two thousand, four hundred ninety-six".