4624134480 has 560 divisors, whose sum is σ = 18892076544. Its totient is φ = 1030164480.

The previous prime is 4624134461. The next prime is 4624134503. The reversal of 4624134480 is 844314264.

4624134480 is a `hidden beast` number, since 46 + 2 + 4 + 134 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19187160 + ... + 19187400.

Almost surely, 2^4624134480 is an apocalyptic number.

4624134480 is a gapful number since it is divisible by the number (40) 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 4624134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446038272).

4624134480 is an abundant number, since it is smaller than the sum of its proper divisors (14267942064).

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

4624134480 is a wasteful number, since it uses less digits than its factorization.

4624134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

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

The square root of 4624134480 is about 68000.9888163400. The cubic root of 4624134480 is about 1666.0069876397.

The spelling of 4624134480 in words is "four billion, six hundred twenty-four million, one hundred thirty-four thousand, four hundred eighty".