425764080 has 320 divisors, whose sum is σ = 1735603200. Its totient is φ = 93864960.

The previous prime is 425764043. The next prime is 425764081. The reversal of 425764080 is 80467524.

425764080 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 640 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425764081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437995 + ... + 438965.

It is an arithmetic number, because the mean of its divisors is an integer number (5423760).

Almost surely, 2^425764080 is an apocalyptic number.

425764080 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 425764080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867801600).

425764080 is an abundant number, since it is smaller than the sum of its proper divisors (1309839120).

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

425764080 is a wasteful number, since it uses less digits than its factorization.

425764080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 425764080 is about 20634.0514683859. The cubic root of 425764080 is about 752.2975942269.

It can be divided in two parts, 42576 and 4080, that added together give a 6-th power (46656 = 6⁶).

The spelling of 425764080 in words is "four hundred twenty-five million, seven hundred sixty-four thousand, eighty".