1457110620 has 192 divisors, whose sum is σ = 5245900800. Its totient is φ = 332983872.

The previous prime is 1457110549. The next prime is 1457110631. The reversal of 1457110620 is 260117541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 303801 + ... + 308559.

It is an arithmetic number, because the mean of its divisors is an integer number (27322400).

Almost surely, 2^1457110620 is an apocalyptic number.

1457110620 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 1457110620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622950400).

1457110620 is an abundant number, since it is smaller than the sum of its proper divisors (3788790180).

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

1457110620 is an equidigital number, since it uses as much as digits as its factorization.

1457110620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1457110620 is about 38172.1183588231. The cubic root of 1457110620 is about 1133.6983324557.

The spelling of 1457110620 in words is "one billion, four hundred fifty-seven million, one hundred ten thousand, six hundred twenty".