4761023400 has 768 divisors, whose sum is σ = 20570112000. Its totient is φ = 987033600.

The previous prime is 4761023389. The next prime is 4761023411. The reversal of 4761023400 is 43201674.

4761023400 is a `hidden beast` number, since 4 + 7 + 610 + 2 + 3 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4761023389) and next prime (4761023411).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19920481 + ... + 19920719.

It is an arithmetic number, because the mean of its divisors is an integer number (26784000).

Almost surely, 2^4761023400 is an apocalyptic number.

4761023400 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 4761023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285056000).

4761023400 is an abundant number, since it is smaller than the sum of its proper divisors (15809088600).

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

4761023400 is a wasteful number, since it uses less digits than its factorization.

4761023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4761023400 is about 69000.1695650090. The cubic root of 4761023400 is about 1682.2870636703.

The spelling of 4761023400 in words is "four billion, seven hundred sixty-one million, twenty-three thousand, four hundred".