4277984400 has 180 divisors, whose sum is σ = 15247506612. Its totient is φ = 1109928960.

The previous prime is 4277984303. The next prime is 4277984401. The reversal of 4277984400 is 44897724.

It can be written as a sum of positive squares in 6 ways, for example, as 257409936 + 4020574464 = 16044^2 + 63408^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (4277984401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117142 + ... + 149258.

Almost surely, 2^4277984400 is an apocalyptic number.

4277984400 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 4277984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623753306).

4277984400 is an abundant number, since it is smaller than the sum of its proper divisors (10969522212).

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

4277984400 is a wasteful number, since it uses less digits than its factorization.

4277984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32178 (or 32164 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4277984400 is about 65406.3024486173. The cubic root of 4277984400 is about 1623.3533647467.

The spelling of 4277984400 in words is "four billion, two hundred seventy-seven million, nine hundred eighty-four thousand, four hundred".