424892400 has 120 divisors (see below), whose sum is σ = 1380518784. Its totient is φ = 111686400.

The previous prime is 424892387. The next prime is 424892401. The reversal of 424892400 is 4298424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424892401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82707 + ... + 87693.

Almost surely, 2^424892400 is an apocalyptic number.

424892400 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 424892400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690259392).

424892400 is an abundant number, since it is smaller than the sum of its proper divisors (955626384).

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

424892400 is a wasteful number, since it uses less digits than its factorization.

424892400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 424892400 is about 20612.9182795644. The cubic root of 424892400 is about 751.7838427319.

The spelling of 424892400 in words is "four hundred twenty-four million, eight hundred ninety-two thousand, four hundred".