425432400 has 120 divisors (see below), whose sum is σ = 1396202304. Its totient is φ = 110668800.

The previous prime is 425432387. The next prime is 425432443. The reversal of 425432400 is 4234524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44877 + ... + 53523.

Almost surely, 2^425432400 is an apocalyptic number.

425432400 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 425432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698101152).

425432400 is an abundant number, since it is smaller than the sum of its proper divisors (970769904).

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

425432400 is a wasteful number, since it uses less digits than its factorization.

425432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 425432400 is about 20626.0127024105. The cubic root of 425432400 is about 752.1021911071.

Adding to 425432400 its reverse (4234524), we get a palindrome (429666924).

The spelling of 425432400 in words is "four hundred twenty-five million, four hundred thirty-two thousand, four hundred".