1496437920 has 144 divisors (see below), whose sum is σ = 5407070760. Its totient is φ = 375570432.

The previous prime is 1496437913. The next prime is 1496437927. The reversal of 1496437920 is 297346941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1496437913) and next prime (1496437927).

It can be written as a sum of positive squares in 4 ways, for example, as 1039675536 + 456762384 = 32244^2 + 21372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1496437927) 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 23 ways as a sum of consecutive naturals, for example, 6085 + ... + 55044.

Almost surely, 2^1496437920 is an apocalyptic number.

1496437920 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 1496437920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703535380).

1496437920 is an abundant number, since it is smaller than the sum of its proper divisors (3910632840).

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

1496437920 is a wasteful number, since it uses less digits than its factorization.

1496437920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61167 (or 61156 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1496437920 is about 38683.8198734303. The cubic root of 1496437920 is about 1143.8073990723.

The spelling of 1496437920 in words is "one billion, four hundred ninety-six million, four hundred thirty-seven thousand, nine hundred twenty".