1462872864 has 96 divisors (see below), whose sum is σ = 4026322944. Its totient is φ = 464175360.

The previous prime is 1462872821. The next prime is 1462872869. The reversal of 1462872864 is 4682782641.

It is a tau number, because it is divible by the number of its divisors (96).

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 (1462872869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490899 + ... + 493869.

It is an arithmetic number, because the mean of its divisors is an integer number (41940864).

Almost surely, 2^1462872864 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 1462872864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013161472).

1462872864 is an abundant number, since it is smaller than the sum of its proper divisors (2563450080).

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

1462872864 is a wasteful number, since it uses less digits than its factorization.

1462872864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3222 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 1462872864 is about 38247.5210177078. The cubic root of 1462872864 is about 1135.1907961317.

The spelling of 1462872864 in words is "one billion, four hundred sixty-two million, eight hundred seventy-two thousand, eight hundred sixty-four".