424769400 has 192 divisors, whose sum is σ = 1596326400. Its totient is φ = 102960000.

The previous prime is 424769399. The next prime is 424769431. The reversal of 424769400 is 4967424.

424769400 is a `hidden beast` number, since 4 + 247 + 6 + 9 + 400 = 666.

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, 55825 + ... + 62975.

It is an arithmetic number, because the mean of its divisors is an integer number (8314200).

Almost surely, 2^424769400 is an apocalyptic number.

424769400 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 424769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798163200).

424769400 is an abundant number, since it is smaller than the sum of its proper divisors (1171557000).

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

424769400 is a wasteful number, since it uses less digits than its factorization.

424769400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 424769400 is about 20609.9344977125. The cubic root of 424769400 is about 751.7112923349.

The spelling of 424769400 in words is "four hundred twenty-four million, seven hundred sixty-nine thousand, four hundred".