420703920 has 240 divisors, whose sum is σ = 1739180352. Its totient is φ = 88750080.

The previous prime is 420703837. The next prime is 420703931. The reversal of 420703920 is 29307024.

It is a tau number, because it is divible by the number of its divisors (240).

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, 62310 + ... + 68730.

Almost surely, 2^420703920 is an apocalyptic number.

420703920 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 420703920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869590176).

420703920 is an abundant number, since it is smaller than the sum of its proper divisors (1318476432).

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

420703920 is a wasteful number, since it uses less digits than its factorization.

420703920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 420703920 is about 20511.0682315671. The cubic root of 420703920 is about 749.3053835426.

The spelling of 420703920 in words is "four hundred twenty million, seven hundred three thousand, nine hundred twenty".