4351264000 has 72 divisors (see below), whose sum is σ = 10839622248. Its totient is φ = 1740492800.

The previous prime is 4351263997. The next prime is 4351264051. The reversal of 4351264000 is 4621534.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 4349666304 = 1264^2 + 65952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35989 + ... + 99988.

It is an arithmetic number, because the mean of its divisors is an integer number (150550309).

Almost surely, 2^4351264000 is an apocalyptic number.

4351264000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4351264000 is an abundant number, since it is smaller than the sum of its proper divisors (6488358248).

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

4351264000 is an equidigital number, since it uses as much as digits as its factorization.

4351264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136008 (or 135984 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4351264000 is about 65964.1114546387. Note that the first 3 decimals coincide. The cubic root of 4351264000 is about 1632.5699982571.

Adding to 4351264000 its reverse (4621534), we get a palindrome (4355885534).

The spelling of 4351264000 in words is "four billion, three hundred fifty-one million, two hundred sixty-four thousand".