4534963200 has 396 divisors, whose sum is σ = 16861794040. Its totient is φ = 1209323520.

The previous prime is 4534963193. The next prime is 4534963211. The reversal of 4534963200 is 23694354.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4534963200 is a `hidden beast` number, since 4 + 534 + 96 + 32 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 906992638 + ... + 906992642.

Almost surely, 2^4534963200 is an apocalyptic number.

4534963200 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 4534963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430897020).

4534963200 is an abundant number, since it is smaller than the sum of its proper divisors (12326830840).

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

4534963200 is an frugal number, since it uses more digits than its factorization.

4534963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4534963200 is about 67342.1353982779. The cubic root of 4534963200 is about 1655.2283739701.

The spelling of 4534963200 in words is "four billion, five hundred thirty-four million, nine hundred sixty-three thousand, two hundred".