1491782400 has 432 divisors, whose sum is σ = 5588704800. Its totient is φ = 389283840.

The previous prime is 1491782399. The next prime is 1491782401. The reversal of 1491782400 is 42871941.

It is an interprime number because it is at equal distance from previous prime (1491782399) and next prime (1491782401).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1491782401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15379152 + ... + 15379248.

Almost surely, 2^1491782400 is an apocalyptic number.

1491782400 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 1491782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794352400).

1491782400 is an abundant number, since it is smaller than the sum of its proper divisors (4096922400).

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

1491782400 is an equidigital number, since it uses as much as digits as its factorization.

1491782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1491782400 is about 38623.5990037179. The cubic root of 1491782400 is about 1142.6200127063.

The spelling of 1491782400 in words is "one billion, four hundred ninety-one million, seven hundred eighty-two thousand, four hundred".