434526372 has 144 divisors (see below), whose sum is σ = 1334511360. Its totient is φ = 116557056.

The previous prime is 434526361. The next prime is 434526377. The reversal of 434526372 is 273625434.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (434526377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269593 + ... + 271199.

It is an arithmetic number, because the mean of its divisors is an integer number (9267440).

Almost surely, 2^434526372 is an apocalyptic number.

434526372 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 434526372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667255680).

434526372 is an abundant number, since it is smaller than the sum of its proper divisors (899984988).

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

434526372 is a wasteful number, since it uses less digits than its factorization.

434526372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1685 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 434526372 is about 20845.2961600453. The cubic root of 434526372 is about 757.4233912657.

The spelling of 434526372 in words is "four hundred thirty-four million, five hundred twenty-six thousand, three hundred seventy-two".