4276958400 has 1008 divisors, whose sum is σ = 18710135808. Its totient is φ = 912384000.

The previous prime is 4276958303. The next prime is 4276958401. The reversal of 4276958400 is 48596724.

It is a happy number.

4276958400 is a `hidden beast` number, since 4 + 2 + 7 + 69 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4276958401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63835167 + ... + 63835233.

Almost surely, 2^4276958400 is an apocalyptic number.

4276958400 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 4276958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9355067904).

4276958400 is an abundant number, since it is smaller than the sum of its proper divisors (14433177408).

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

4276958400 is a wasteful number, since it uses less digits than its factorization.

4276958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4276958400 is about 65398.4586974341. The cubic root of 4276958400 is about 1623.2235766996.

The spelling of 4276958400 in words is "four billion, two hundred seventy-six million, nine hundred fifty-eight thousand, four hundred".