426952680 has 512 divisors, whose sum is σ = 1741824000. Its totient is φ = 82790400.

The previous prime is 426952663. The next prime is 426952681. The reversal of 426952680 is 86259624.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426952681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10413460 + ... + 10413500.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^426952680 is an apocalyptic number.

426952680 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 426952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

426952680 is an abundant number, since it is smaller than the sum of its proper divisors (1314871320).

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

426952680 is a wasteful number, since it uses less digits than its factorization.

426952680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 426952680 is about 20662.8333003971. The cubic root of 426952680 is about 752.9970035630.

The spelling of 426952680 in words is "four hundred twenty-six million, nine hundred fifty-two thousand, six hundred eighty".