434470400 has 240 divisors, whose sum is σ = 1328394144. Its totient is φ = 137134080.

The previous prime is 434470369. The next prime is 434470417. The reversal of 434470400 is 4074434.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 434470400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164614 + ... + 1164986.

Almost surely, 2^434470400 is an apocalyptic number.

434470400 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 434470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664197072).

434470400 is an abundant number, since it is smaller than the sum of its proper divisors (893923744).

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

434470400 is a wasteful number, since it uses less digits than its factorization.

434470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 434470400 is about 20843.9535597257. The cubic root of 434470400 is about 757.3908682512.

The spelling of 434470400 in words is "four hundred thirty-four million, four hundred seventy thousand, four hundred".