4754904000 has 896 divisors, whose sum is σ = 20449787904. Its totient is φ = 944640000.

The previous prime is 4754903971. The next prime is 4754904079. The reversal of 4754904000 is 4094574.

It is a happy number.

It is a super-2 number, since 2×4754904000² = 45218224098432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57287959 + ... + 57288041.

It is an arithmetic number, because the mean of its divisors is an integer number (22823424).

Almost surely, 2^4754904000 is an apocalyptic number.

4754904000 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 4754904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10224893952).

4754904000 is an abundant number, since it is smaller than the sum of its proper divisors (15694883904).

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

4754904000 is a wasteful number, since it uses less digits than its factorization.

4754904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4754904000 is about 68955.8119377910. The cubic root of 4754904000 is about 1681.5660001279.

Adding to 4754904000 its reverse (4094574), we get a palindrome (4758998574).

The spelling of 4754904000 in words is "four billion, seven hundred fifty-four million, nine hundred four thousand".