434391552 has 240 divisors, whose sum is σ = 1491779520. Its totient is φ = 122259456.

The previous prime is 434391527. The next prime is 434391569. The reversal of 434391552 is 255193434.

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

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, 6483423 + ... + 6483489.

It is an arithmetic number, because the mean of its divisors is an integer number (6215748).

Almost surely, 2^434391552 is an apocalyptic number.

434391552 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 434391552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745889760).

434391552 is an abundant number, since it is smaller than the sum of its proper divisors (1057387968).

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

434391552 is an frugal number, since it uses more digits than its factorization.

434391552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 79 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 434391552 is about 20842.0620860797. The cubic root of 434391552 is about 757.3450481998.

The spelling of 434391552 in words is "four hundred thirty-four million, three hundred ninety-one thousand, five hundred fifty-two".