1457253504 has 448 divisors, whose sum is σ = 5244301440. Its totient is φ = 394149888.

The previous prime is 1457253467. The next prime is 1457253533. The reversal of 1457253504 is 4053527541.

1457253504 is a `hidden beast` number, since 145 + 7 + 2 + 5 + 3 + 504 = 666.

1457253504 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15023184 + ... + 15023280.

It is an arithmetic number, because the mean of its divisors is an integer number (11706030).

Almost surely, 2^1457253504 is an apocalyptic number.

1457253504 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 1457253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622150720).

1457253504 is an abundant number, since it is smaller than the sum of its proper divisors (3787047936).

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

1457253504 is an frugal number, since it uses more digits than its factorization.

1457253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 1457253504 is about 38173.9898884044. The cubic root of 1457253504 is about 1133.7353879946.

The spelling of 1457253504 in words is "one billion, four hundred fifty-seven million, two hundred fifty-three thousand, five hundred four".