427505956920 has 320 divisors, whose sum is σ = 1645862328000. Its totient is φ = 97495695360.

The previous prime is 427505956903. The next prime is 427505956951. The reversal of 427505956920 is 29659505724.

427505956920 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 0 + 59 + 569 + 20 = 666.

It is a super-2 number, since 2×427505956920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10162330 + ... + 10204310.

It is an arithmetic number, because the mean of its divisors is an integer number (5143319775).

Almost surely, 2^427505956920 is an apocalyptic number.

427505956920 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 427505956920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822931164000).

427505956920 is an abundant number, since it is smaller than the sum of its proper divisors (1218356371080).

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

427505956920 is a wasteful number, since it uses less digits than its factorization.

427505956920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42460 (or 42447 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 427505956920 in words is "four hundred twenty-seven billion, five hundred five million, nine hundred fifty-six thousand, nine hundred twenty".