1496950560 has 288 divisors, whose sum is σ = 5902146432. Its totient is φ = 338411520.

The previous prime is 1496950547. The next prime is 1496950579. The reversal of 1496950560 is 650596941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976995 + ... + 978525.

It is an arithmetic number, because the mean of its divisors is an integer number (20493564).

Almost surely, 2^1496950560 is an apocalyptic number.

1496950560 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 1496950560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951073216).

1496950560 is an abundant number, since it is smaller than the sum of its proper divisors (4405195872).

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

1496950560 is a wasteful number, since it uses less digits than its factorization.

1496950560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1496950560 is about 38690.4453321489. The cubic root of 1496950560 is about 1143.9379968678.

The spelling of 1496950560 in words is "one billion, four hundred ninety-six million, nine hundred fifty thousand, five hundred sixty".