420484377600 has 396 divisors, whose sum is σ = 1720615741104. Its totient is φ = 96110346240.

The previous prime is 420484377541. The next prime is 420484377617. The reversal of 420484377600 is 6773484024.

420484377600 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 8 + 4 + 37 + 7 + 600 = 666.

It is a super-2 number, since 2×420484377600² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1482442 + ... + 1743158.

Almost surely, 2^420484377600 is an apocalyptic number.

420484377600 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 420484377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860307870552).

420484377600 is an abundant number, since it is smaller than the sum of its proper divisors (1300131363504).

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

420484377600 is a wasteful number, since it uses less digits than its factorization.

420484377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260760 (or 260734 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 420484377600 in words is "four hundred twenty billion, four hundred eighty-four million, three hundred seventy-seven thousand, six hundred".