420634400 has 144 divisors (see below), whose sum is σ = 1099757736. Its totient is φ = 156549120.

The previous prime is 420634391. The next prime is 420634453. The reversal of 420634400 is 4436024.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 139334416 + 281299984 = 11804^2 + 16772^2 .

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, 2135102 + ... + 2135298.

Almost surely, 2^420634400 is an apocalyptic number.

420634400 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 420634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549878868).

420634400 is an abundant number, since it is smaller than the sum of its proper divisors (679123336).

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

420634400 is a wasteful number, since it uses less digits than its factorization.

420634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 420634400 is about 20509.3734667834. The cubic root of 420634400 is about 749.2641078160.

The spelling of 420634400 in words is "four hundred twenty million, six hundred thirty-four thousand, four hundred".