5434458624 has 240 divisors, whose sum is σ = 18014293440. Its totient is φ = 1544970240.

The previous prime is 5434458619. The next prime is 5434458649. The reversal of 5434458624 is 4268544345.

5434458624 is a `hidden beast` number, since 5 + 4 + 3 + 44 + 586 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5434458624.

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, 10676482 + ... + 10676990.

It is an arithmetic number, because the mean of its divisors is an integer number (75059556).

Almost surely, 2^5434458624 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 5434458624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007146720).

5434458624 is an abundant number, since it is smaller than the sum of its proper divisors (12579834816).

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

5434458624 is a wasteful number, since it uses less digits than its factorization.

5434458624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 852 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The square root of 5434458624 is about 73718.7806735841. The cubic root of 5434458624 is about 1758.1344971979.

The spelling of 5434458624 in words is "five billion, four hundred thirty-four million, four hundred fifty-eight thousand, six hundred twenty-four".