1457946001 has 8 divisors (see below), whose sum is σ = 1472437224. Its totient is φ = 1443482880.

The previous prime is 1457945989. The next prime is 1457946013. The reversal of 1457946001 is 1006497541.

1457946001 = 26999² + 27000².

It is an interprime number because it is at equal distance from previous prime (1457945989) and next prime (1457946013).

It can be written as a sum of positive squares in 4 ways, for example, as 224250625 + 1233695376 = 14975^2 + 35124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1457946001 - 2²⁵ = 1424391569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1457946041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106191 + ... + 119131.

It is an arithmetic number, because the mean of its divisors is an integer number (184054653).

Almost surely, 2^1457946001 is an apocalyptic number.

1457946001 is the 27000-th centered square number.

It is an amenable number.

1457946001 is a deficient number, since it is larger than the sum of its proper divisors (14491223).

1457946001 is a wasteful number, since it uses less digits than its factorization.

1457946001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14051.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1457946001 is about 38183.0590838398. The cubic root of 1457946001 is about 1133.9149458690.

The spelling of 1457946001 in words is "one billion, four hundred fifty-seven million, nine hundred forty-six thousand, one".