424229400 has 576 divisors, whose sum is σ = 1787385600. Its totient is φ = 91445760.

The previous prime is 424229387. The next prime is 424229431. The reversal of 424229400 is 4922424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9865779 + ... + 9865821.

It is an arithmetic number, because the mean of its divisors is an integer number (3103100).

Almost surely, 2^424229400 is an apocalyptic number.

424229400 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 424229400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893692800).

424229400 is an abundant number, since it is smaller than the sum of its proper divisors (1363156200).

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

424229400 is a wasteful number, since it uses less digits than its factorization.

424229400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 424229400 is about 20596.8298531594. The cubic root of 424229400 is about 751.3926125732.

The spelling of 424229400 in words is "four hundred twenty-four million, two hundred twenty-nine thousand, four hundred".