1457406720 has 864 divisors, whose sum is σ = 6611963904. Its totient is φ = 287539200.

The previous prime is 1457406703. The next prime is 1457406733. The reversal of 1457406720 is 276047541.

1457406720 is a `hidden beast` number, since 1 + 4 + 574 + 0 + 67 + 20 = 666.

It is a super-3 number, since 3×1457406720³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27498214 + ... + 27498266.

It is an arithmetic number, because the mean of its divisors is an integer number (7652736).

Almost surely, 2^1457406720 is an apocalyptic number.

1457406720 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 1457406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305981952).

1457406720 is an abundant number, since it is smaller than the sum of its proper divisors (5154557184).

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

1457406720 is a wasteful number, since it uses less digits than its factorization.

1457406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1457406720 is about 38175.9966471080. The cubic root of 1457406720 is about 1133.7751203435.

The spelling of 1457406720 in words is "one billion, four hundred fifty-seven million, four hundred six thousand, seven hundred twenty".