1456910364 has 96 divisors (see below), whose sum is σ = 4255050240. Its totient is φ = 377710848.

The previous prime is 1456910339. The next prime is 1456910417. The reversal of 1456910364 is 4630196541.

It is a super-2 number, since 2×1456910364² = 4245175617461224992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53122 + ... + 75734.

It is an arithmetic number, because the mean of its divisors is an integer number (44323440).

Almost surely, 2^1456910364 is an apocalyptic number.

1456910364 is a gapful number since it is divisible by the number (14) 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 1456910364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127525120).

1456910364 is an abundant number, since it is smaller than the sum of its proper divisors (2798139876).

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

1456910364 is a wasteful number, since it uses less digits than its factorization.

1456910364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22699 (or 22697 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1456910364 is about 38169.4952023209. The cubic root of 1456910364 is about 1133.6463939843.

The spelling of 1456910364 in words is "one billion, four hundred fifty-six million, nine hundred ten thousand, three hundred sixty-four".