420752893 has 24 divisors (see below), whose sum is σ = 476490816. Its totient is φ = 368424000.

The previous prime is 420752881. The next prime is 420752897. The reversal of 420752893 is 398257024.

It is a de Polignac number, because none of the positive numbers 2^k-420752893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420752897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2786368 + ... + 2786518.

It is an arithmetic number, because the mean of its divisors is an integer number (19853784).

Almost surely, 2^420752893 is an apocalyptic number.

420752893 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

420752893 is a deficient number, since it is larger than the sum of its proper divisors (55737923).

420752893 is a wasteful number, since it uses less digits than its factorization.

420752893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 420752893 is about 20512.2620156822. The cubic root of 420752893 is about 749.3344572823.

The spelling of 420752893 in words is "four hundred twenty million, seven hundred fifty-two thousand, eight hundred ninety-three".