1456261920 has 144 divisors (see below), whose sum is σ = 5063523192. Its totient is φ = 380989440.

The previous prime is 1456261907. The next prime is 1456261931. The reversal of 1456261920 is 291626541.

1456261920 is a `hidden beast` number, since 1 + 4 + 5 + 626 + 1 + 9 + 20 = 666.

It is a Cunningham number, because it is equal to 38161²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 1083463056 + 372798864 = 32916^2 + 19308^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66780 + ... + 85860.

Almost surely, 2^1456261920 is an apocalyptic number.

1456261920 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 1456261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531761596).

1456261920 is an abundant number, since it is smaller than the sum of its proper divisors (3607261272).

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

1456261920 is a wasteful number, since it uses less digits than its factorization.

1456261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19155 (or 19144 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1456261920 is about 38160.9999868976. Note that the first 4 decimals coincide. The cubic root of 1456261920 is about 1133.4781806410.

The spelling of 1456261920 in words is "one billion, four hundred fifty-six million, two hundred sixty-one thousand, nine hundred twenty".