425779200 has 672 divisors, whose sum is σ = 1950232320. Its totient is φ = 88473600.

The previous prime is 425779199. The next prime is 425779259. The reversal of 425779200 is 2977524.

It is a tau number, because it is divible by the number of its divisors (672).

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 47 ways as a sum of consecutive naturals, for example, 38707195 + ... + 38707205.

Almost surely, 2^425779200 is an apocalyptic number.

425779200 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 425779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975116160).

425779200 is an abundant number, since it is smaller than the sum of its proper divisors (1524453120).

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

425779200 is a wasteful number, since it uses less digits than its factorization.

425779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 425779200 is about 20634.4178497965. The cubic root of 425779200 is about 752.3064994755.

The spelling of 425779200 in words is "four hundred twenty-five million, seven hundred seventy-nine thousand, two hundred".