1464873984 has 396 divisors, whose sum is σ = 5191912544. Its totient is φ = 404103168.

The previous prime is 1464873983. The next prime is 1464874001. The reversal of 1464873984 is 4893784641.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1464873984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464873983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50512882 + ... + 50512910.

Almost surely, 2^1464873984 is an apocalyptic number.

1464873984 is a gapful number since it is divisible by the number (14) 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 1464873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595956272).

1464873984 is an abundant number, since it is smaller than the sum of its proper divisors (3727038560).

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

1464873984 is an frugal number, since it uses more digits than its factorization.

1464873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1464873984 is about 38273.6722042712. The cubic root of 1464873984 is about 1135.7081839880.

The spelling of 1464873984 in words is "one billion, four hundred sixty-four million, eight hundred seventy-three thousand, nine hundred eighty-four".