420915546 has 48 divisors (see below), whose sum is σ = 967555368. Its totient is φ = 131788800.

The previous prime is 420915533. The next prime is 420915557. The reversal of 420915546 is 645519024.

420915546 is a `hidden beast` number, since 4 + 20 + 91 + 5 + 546 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411643521 + 9272025 = 20289^2 + 3045^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420915546.

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, 201226 + ... + 203306.

Almost surely, 2^420915546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420915546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483777684).

420915546 is an abundant number, since it is smaller than the sum of its proper divisors (546639822).

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

420915546 is a wasteful number, since it uses less digits than its factorization.

420915546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 420915546 is about 20516.2264074074. The cubic root of 420915546 is about 749.4310030992.

The spelling of 420915546 in words is "four hundred twenty million, nine hundred fifteen thousand, five hundred forty-six".