1864391904 has 240 divisors, whose sum is σ = 6009973200. Its totient is φ = 564350976.

The previous prime is 1864391897. The next prime is 1864391909. The reversal of 1864391904 is 4091934681.

It is a self number, because there is not a number n which added to its sum of digits gives 1864391904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864391909) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277127 + ... + 1278585.

It is an arithmetic number, because the mean of its divisors is an integer number (25041555).

Almost surely, 2^1864391904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1864391904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004986600).

1864391904 is an abundant number, since it is smaller than the sum of its proper divisors (4145581296).

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

1864391904 is a wasteful number, since it uses less digits than its factorization.

1864391904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1864391904 is about 43178.6047018659. The cubic root of 1864391904 is about 1230.7761430990.

The spelling of 1864391904 in words is "one billion, eight hundred sixty-four million, three hundred ninety-one thousand, nine hundred four".