1457726401 has 2 divisors, whose sum is σ = 1457726402. Its totient is φ = 1457726400.

The previous prime is 1457726357. The next prime is 1457726429. The reversal of 1457726401 is 1046277541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1295928001 + 161798400 = 35999^2 + 12720^2 .

It is a cyclic number.

It is not a de Polignac number, because 1457726401 - 2²⁹ = 920855489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1457726201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 728863200 + 728863201.

It is an arithmetic number, because the mean of its divisors is an integer number (728863201).

Almost surely, 2^1457726401 is an apocalyptic number.

It is an amenable number.

1457726401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1457726401 is an equidigital number, since it uses as much as digits as its factorization.

1457726401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 1457726401 is about 38180.1833547195. The cubic root of 1457726401 is about 1133.8580118388.

The spelling of 1457726401 in words is "one billion, four hundred fifty-seven million, seven hundred twenty-six thousand, four hundred one".