425329920 has 288 divisors, whose sum is σ = 1561943040. Its totient is φ = 109486080.

The previous prime is 425329913. The next prime is 425329939. The reversal of 425329920 is 29923524.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071162 + ... + 1071558.

Almost surely, 2^425329920 is an apocalyptic number.

425329920 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 425329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780971520).

425329920 is an abundant number, since it is smaller than the sum of its proper divisors (1136613120).

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

425329920 is a wasteful number, since it uses less digits than its factorization.

425329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 425329920 is about 20623.5283111305. The cubic root of 425329920 is about 752.0417963792.

The spelling of 425329920 in words is "four hundred twenty-five million, three hundred twenty-nine thousand, nine hundred twenty".