434694624 has 192 divisors, whose sum is σ = 1487517696. Its totient is φ = 107864064.

The previous prime is 434694619. The next prime is 434694629. The reversal of 434694624 is 426496434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434694619) and next prime (434694629).

It is a super-2 number, since 2×434694624² = 377918832269002752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434694629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147049 + ... + 149975.

It is an arithmetic number, because the mean of its divisors is an integer number (7747488).

Almost surely, 2^434694624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434694624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743758848).

434694624 is an abundant number, since it is smaller than the sum of its proper divisors (1052823072).

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

434694624 is a wasteful number, since it uses less digits than its factorization.

434694624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2969 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 434694624 is about 20849.3315000745. The cubic root of 434694624 is about 757.5211387320.

The spelling of 434694624 in words is "four hundred thirty-four million, six hundred ninety-four thousand, six hundred twenty-four".