1864962480 has 320 divisors, whose sum is σ = 6399590400. Its totient is φ = 447482880.

The previous prime is 1864962469. The next prime is 1864962481. The reversal of 1864962480 is 842694681.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1864962481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11167357 + ... + 11167523.

It is an arithmetic number, because the mean of its divisors is an integer number (19998720).

Almost surely, 2^1864962480 is an apocalyptic number.

1864962480 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 1864962480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199795200).

1864962480 is an abundant number, since it is smaller than the sum of its proper divisors (4534627920).

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

1864962480 is a wasteful number, since it uses less digits than its factorization.

1864962480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 1864962480 is about 43185.2113575932. The cubic root of 1864962480 is about 1230.9016853201.

The spelling of 1864962480 in words is "one billion, eight hundred sixty-four million, nine hundred sixty-two thousand, four hundred eighty".