434148624 has 180 divisors, whose sum is σ = 1522425996. Its totient is φ = 114476544.

The previous prime is 434148619. The next prime is 434148691. The reversal of 434148624 is 426841434.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 363588624 = 8400^2 + 19068^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 89362 + ... + 94094.

Almost surely, 2^434148624 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 434148624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761212998).

434148624 is an abundant number, since it is smaller than the sum of its proper divisors (1088277372).

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

434148624 is a wasteful number, since it uses less digits than its factorization.

434148624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4758 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 434148624 is about 20836.2334408117. The cubic root of 434148624 is about 757.2038433169.

The spelling of 434148624 in words is "four hundred thirty-four million, one hundred forty-eight thousand, six hundred twenty-four".