1464885408 has 192 divisors, whose sum is σ = 4776468480. Its totient is φ = 383616000.

The previous prime is 1464885397. The next prime is 1464885421. The reversal of 1464885408 is 8045884641.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393958 + ... + 397658.

It is an arithmetic number, because the mean of its divisors is an integer number (24877440).

Almost surely, 2^1464885408 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 1464885408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388234240).

1464885408 is an abundant number, since it is smaller than the sum of its proper divisors (3311583072).

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

1464885408 is a wasteful number, since it uses less digits than its factorization.

1464885408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The square root of 1464885408 is about 38273.8214449511. The cubic root of 1464885408 is about 1135.7111363003.

The spelling of 1464885408 in words is "one billion, four hundred sixty-four million, eight hundred eighty-five thousand, four hundred eight".