425349792 has 360 divisors, whose sum is σ = 1548597204. Its totient is φ = 113799168.

The previous prime is 425349781. The next prime is 425349803. The reversal of 425349792 is 297943524.

425349792 is a `hidden beast` number, since 42 + 534 + 9 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (425349781) and next prime (425349803).

It can be written as a sum of positive squares in 2 ways, for example, as 338412816 + 86936976 = 18396^2 + 9324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2159038 + ... + 2159234.

Almost surely, 2^425349792 is an apocalyptic number.

425349792 is a gapful number since it is divisible by the number (42) 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 425349792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774298602).

425349792 is an abundant number, since it is smaller than the sum of its proper divisors (1123247412).

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

425349792 is a wasteful number, since it uses less digits than its factorization.

425349792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 425349792 is about 20624.0100853350. The cubic root of 425349792 is about 752.0535083398.

It can be divided in two parts, 42534 and 9792, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 425349792 in words is "four hundred twenty-five million, three hundred forty-nine thousand, seven hundred ninety-two".