420796480 has 168 divisors, whose sum is σ = 1124492544. Its totient is φ = 149760000.

The previous prime is 420796457. The next prime is 420796501. The reversal of 420796480 is 84697024.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676355 + ... + 1676605.

It is an arithmetic number, because the mean of its divisors is an integer number (6693408).

Almost surely, 2^420796480 is an apocalyptic number.

420796480 is a gapful number since it is divisible by the number (40) 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 420796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562246272).

420796480 is an abundant number, since it is smaller than the sum of its proper divisors (703696064).

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

420796480 is a wasteful number, since it uses less digits than its factorization.

420796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 420796480 is about 20513.3244502202. The cubic root of 420796480 is about 749.3603316246.

The spelling of 420796480 in words is "four hundred twenty million, seven hundred ninety-six thousand, four hundred eighty".