4762800432 has 160 divisors (see below), whose sum is σ = 15121184960. Its totient is φ = 1425807360.

The previous prime is 4762800431. The next prime is 4762800437. The reversal of 4762800432 is 2340082674.

It is a super-4 number, since 4×4762800432⁴ (a number of 40 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4762800431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196332 + ... + 219252.

It is an arithmetic number, because the mean of its divisors is an integer number (94507406).

Almost surely, 2^4762800432 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 4762800432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560592480).

4762800432 is an abundant number, since it is smaller than the sum of its proper divisors (10358384528).

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

4762800432 is a wasteful number, since it uses less digits than its factorization.

4762800432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22988 (or 22976 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4762800432 is about 69013.0453754940. The cubic root of 4762800432 is about 1682.4963398304.

It can be divided in two parts, 4762800 and 432, that multiplied together give a square (2057529600 = 45360²).

The spelling of 4762800432 in words is "four billion, seven hundred sixty-two million, eight hundred thousand, four hundred thirty-two".