4765262400 has 420 divisors, whose sum is σ = 17766956592. Its totient is φ = 1252592640.

The previous prime is 4765262329. The next prime is 4765262407. The reversal of 4765262400 is 42625674.

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 (4765262407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10756579 + ... + 10757021.

Almost surely, 2^4765262400 is an apocalyptic number.

4765262400 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 4765262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883478296).

4765262400 is an abundant number, since it is smaller than the sum of its proper divisors (13001694192).

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

4765262400 is a wasteful number, since it uses less digits than its factorization.

4765262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4765262400 is about 69030.8800465415. The cubic root of 4765262400 is about 1682.7861930152.

The spelling of 4765262400 in words is "four billion, seven hundred sixty-five million, two hundred sixty-two thousand, four hundred".