424970400 has 144 divisors (see below), whose sum is σ = 1396410624. Its totient is φ = 112250880.

The previous prime is 424970393. The next prime is 424970401. The reversal of 424970400 is 4079424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (424970401) 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, 270417 + ... + 271983.

It is an arithmetic number, because the mean of its divisors is an integer number (9697296).

Almost surely, 2^424970400 is an apocalyptic number.

424970400 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 424970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698205312).

424970400 is an abundant number, since it is smaller than the sum of its proper divisors (971440224).

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

424970400 is a wasteful number, since it uses less digits than its factorization.

424970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 424970400 is about 20614.8102101378. The cubic root of 424970400 is about 751.8298430463.

The spelling of 424970400 in words is "four hundred twenty-four million, nine hundred seventy thousand, four hundred".