420463540224 has 1440 divisors, whose sum is σ = 1651211321760. Its totient is φ = 105456992256.

The previous prime is 420463540223. The next prime is 420463540229. The reversal of 420463540224 is 422045364024.

420463540224 is a `hidden beast` number, since 42 + 0 + 46 + 354 + 0 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420463540223) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2430425002 + ... + 2430425174.

It is an arithmetic number, because the mean of its divisors is an integer number (1146674529).

Almost surely, 2^420463540224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420463540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825605660880).

420463540224 is an abundant number, since it is smaller than the sum of its proper divisors (1230747781536).

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

420463540224 is a wasteful number, since it uses less digits than its factorization.

420463540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 420463540224 in words is "four hundred twenty billion, four hundred sixty-three million, five hundred forty thousand, two hundred twenty-four".