4278504000 has 224 divisors, whose sum is σ = 14432011776. Its totient is φ = 1116364800.

The previous prime is 4278503993. The next prime is 4278504011. The reversal of 4278504000 is 4058724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1126104 + ... + 1129896.

It is an arithmetic number, because the mean of its divisors is an integer number (64428624).

Almost surely, 2^4278504000 is an apocalyptic number.

4278504000 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 4278504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216005888).

4278504000 is an abundant number, since it is smaller than the sum of its proper divisors (10153507776).

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

4278504000 is a wasteful number, since it uses less digits than its factorization.

4278504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4278504000 is about 65410.2744222955. The cubic root of 4278504000 is about 1623.4190857484.

The spelling of 4278504000 in words is "four billion, two hundred seventy-eight million, five hundred four thousand".