434453712 has 320 divisors, whose sum is σ = 1487904768. Its totient is φ = 105984000.

The previous prime is 434453687. The next prime is 434453713. The reversal of 434453712 is 217354434.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434453713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7122162 + ... + 7122222.

Almost surely, 2^434453712 is an apocalyptic number.

434453712 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 434453712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743952384).

434453712 is an abundant number, since it is smaller than the sum of its proper divisors (1053451056).

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

434453712 is a wasteful number, since it uses less digits than its factorization.

434453712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 434453712 is about 20843.5532479470. The cubic root of 434453712 is about 757.3811710040.

The spelling of 434453712 in words is "four hundred thirty-four million, four hundred fifty-three thousand, seven hundred twelve".