434978400 has 144 divisors (see below), whose sum is σ = 1490529600. Its totient is φ = 109877760.

The previous prime is 434978393. The next prime is 434978407. The reversal of 434978400 is 4879434.

It is an interprime number because it is at equal distance from previous prime (434978393) and next prime (434978407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434978407) 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, 40831 + ... + 50369.

It is an arithmetic number, because the mean of its divisors is an integer number (10350900).

Almost surely, 2^434978400 is an apocalyptic number.

434978400 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 434978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745264800).

434978400 is an abundant number, since it is smaller than the sum of its proper divisors (1055551200).

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

434978400 is a wasteful number, since it uses less digits than its factorization.

434978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9581 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 434978400 is about 20856.1357878203. The cubic root of 434978400 is about 757.6859437436.

The spelling of 434978400 in words is "four hundred thirty-four million, nine hundred seventy-eight thousand, four hundred".