1204878240 has 240 divisors, whose sum is σ = 4390848000. Its totient is φ = 310832640.

The previous prime is 1204878239. The next prime is 1204878287. The reversal of 1204878240 is 428784021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1204878195 and 1204878204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400261 + ... + 403259.

It is an arithmetic number, because the mean of its divisors is an integer number (18295200).

Almost surely, 2^1204878240 is an apocalyptic number.

1204878240 is a gapful number since it is divisible by the number (10) 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 1204878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424000).

1204878240 is an abundant number, since it is smaller than the sum of its proper divisors (3185969760).

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

1204878240 is a wasteful number, since it uses less digits than its factorization.

1204878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1204878240 is about 34711.3560668551. The cubic root of 1204878240 is about 1064.0965955230.

The spelling of 1204878240 in words is "one billion, two hundred four million, eight hundred seventy-eight thousand, two hundred forty".