1496401920 has 288 divisors, whose sum is σ = 5589675000. Its totient is φ = 368050176.

The previous prime is 1496401891. The next prime is 1496401927. The reversal of 1496401920 is 291046941.

It is a happy number.

1496401920 is a `hidden beast` number, since 1 + 4 + 9 + 640 + 1 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 868598784 + 627803136 = 29472^2 + 25056^2 .

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1496401927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197456 + ... + 1198704.

Almost surely, 2^1496401920 is an apocalyptic number.

1496401920 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 1496401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794837500).

1496401920 is an abundant number, since it is smaller than the sum of its proper divisors (4093273080).

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

1496401920 is a wasteful number, since it uses less digits than its factorization.

1496401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1496401920 is about 38683.3545598103. The cubic root of 1496401920 is about 1143.7982267580.

The spelling of 1496401920 in words is "one billion, four hundred ninety-six million, four hundred one thousand, nine hundred twenty".