427157640 has 576 divisors, whose sum is σ = 1849910400. Its totient is φ = 83386368.

The previous prime is 427157609. The next prime is 427157669. The reversal of 427157640 is 46751724.

427157640 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 5 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 427157595 and 427157604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7239931 + ... + 7239989.

It is an arithmetic number, because the mean of its divisors is an integer number (3211650).

Almost surely, 2^427157640 is an apocalyptic number.

427157640 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 427157640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924955200).

427157640 is an abundant number, since it is smaller than the sum of its proper divisors (1422752760).

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

427157640 is a wasteful number, since it uses less digits than its factorization.

427157640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 427157640 is about 20667.7923349350. The cubic root of 427157640 is about 753.1174771607.

The spelling of 427157640 in words is "four hundred twenty-seven million, one hundred fifty-seven thousand, six hundred forty".