4456279800 has 288 divisors, whose sum is σ = 17738448000. Its totient is φ = 1018500480.

The previous prime is 4456279799. The next prime is 4456279801. The reversal of 4456279800 is 89726544.

It is a happy number.

4456279800 is a `hidden beast` number, since 4 + 4 + 562 + 7 + 9 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4456279799) and next prime (4456279801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456279801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333651 + ... + 346749.

Almost surely, 2^4456279800 is an apocalyptic number.

4456279800 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 4456279800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869224000).

4456279800 is an abundant number, since it is smaller than the sum of its proper divisors (13282168200).

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

4456279800 is a wasteful number, since it uses less digits than its factorization.

4456279800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13137 (or 13116 counting only the distinct ones).

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

The square root of 4456279800 is about 66755.3728174744. The cubic root of 4456279800 is about 1645.5995141780.

The spelling of 4456279800 in words is "four billion, four hundred fifty-six million, two hundred seventy-nine thousand, eight hundred".