4374654900 has 576 divisors, whose sum is σ = 16798924800. Its totient is φ = 852480000.

The previous prime is 4374654899. The next prime is 4374654913. The reversal of 4374654900 is 94564734.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 29360026 + ... + 29360174.

It is an arithmetic number, because the mean of its divisors is an integer number (29164800).

Almost surely, 2^4374654900 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 4374654900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399462400).

4374654900 is an abundant number, since it is smaller than the sum of its proper divisors (12424269900).

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

4374654900 is a wasteful number, since it uses less digits than its factorization.

4374654900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4374654900 is about 66141.1740143762. The cubic root of 4374654900 is about 1635.4901503451.

The spelling of 4374654900 in words is "four billion, three hundred seventy-four million, six hundred fifty-four thousand, nine hundred".