4278674400 has 864 divisors, whose sum is σ = 18939287808. Its totient is φ = 814694400.

The previous prime is 4278674381. The next prime is 4278674417. The reversal of 4278674400 is 44768724.

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 143 ways as a sum of consecutive naturals, for example, 31231132 + ... + 31231268.

It is an arithmetic number, because the mean of its divisors is an integer number (21920472).

Almost surely, 2^4278674400 is an apocalyptic number.

4278674400 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 4278674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469643904).

4278674400 is an abundant number, since it is smaller than the sum of its proper divisors (14660613408).

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

4278674400 is a wasteful number, since it uses less digits than its factorization.

4278674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 4278674400 is about 65411.5769569883. The cubic root of 4278674400 is about 1623.4406374356.

The spelling of 4278674400 in words is "four billion, two hundred seventy-eight million, six hundred seventy-four thousand, four hundred".