434087472 has 120 divisors (see below), whose sum is σ = 1404920496. Its totient is φ = 114476544.

The previous prime is 434087461. The next prime is 434087473. The reversal of 434087472 is 274780434.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 434087472.

It is not an unprimeable number, because it can be changed into a prime (434087473) 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, 23478 + ... + 37674.

Almost surely, 2^434087472 is an apocalyptic number.

434087472 is a gapful number since it is divisible by the number (42) 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 434087472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702460248).

434087472 is an abundant number, since it is smaller than the sum of its proper divisors (970833024).

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

434087472 is a wasteful number, since it uses less digits than its factorization.

434087472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14235 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 434087472 is about 20834.7659454096. The cubic root of 434087472 is about 757.1682896677.

The spelling of 434087472 in words is "four hundred thirty-four million, eighty-seven thousand, four hundred seventy-two".