1457122260 has 96 divisors (see below), whose sum is σ = 4457980800. Its totient is φ = 352675840.

The previous prime is 1457122259. The next prime is 1457122283. The reversal of 1457122260 is 622217541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532576 + ... + 535304.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 2^1457122260 is an apocalyptic number.

1457122260 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 1457122260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228990400).

1457122260 is an abundant number, since it is smaller than the sum of its proper divisors (3000858540).

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

1457122260 is a wasteful number, since it uses less digits than its factorization.

1457122260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1457122260 is about 38172.2708258233. The cubic root of 1457122260 is about 1133.7013512641.

The spelling of 1457122260 in words is "one billion, four hundred fifty-seven million, one hundred twenty-two thousand, two hundred sixty".