420349478400 has 480 divisors, whose sum is σ = 1596127975200. Its totient is φ = 108225331200.

The previous prime is 420349478399. The next prime is 420349478443. The reversal of 420349478400 is 4874943024.

420349478400 is a `hidden beast` number, since 420 + 34 + 94 + 78 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 10001430 + ... + 10043370.

It is an arithmetic number, because the mean of its divisors is an integer number (3325266615).

Almost surely, 2^420349478400 is an apocalyptic number.

420349478400 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 420349478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798063987600).

420349478400 is an abundant number, since it is smaller than the sum of its proper divisors (1175778496800).

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

420349478400 is a wasteful number, since it uses less digits than its factorization.

420349478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42007 (or 41980 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 420349478400 in words is "four hundred twenty billion, three hundred forty-nine million, four hundred seventy-eight thousand, four hundred".