1457412480 has 512 divisors, whose sum is σ = 5698944000. Its totient is φ = 350355456.

The previous prime is 1457412479. The next prime is 1457412491. The reversal of 1457412480 is 842147541.

It is a happy number.

1457412480 is a `hidden beast` number, since 1 + 4 + 574 + 1 + 2 + 4 + 80 = 666.

It is a super-2 number, since 2×1457412480² = 4248102273719500800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 7551264 + ... + 7551456.

It is an arithmetic number, because the mean of its divisors is an integer number (11130750).

Almost surely, 2^1457412480 is an apocalyptic number.

1457412480 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 1457412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849472000).

1457412480 is an abundant number, since it is smaller than the sum of its proper divisors (4241531520).

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

1457412480 is a wasteful number, since it uses less digits than its factorization.

1457412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1457412480 is about 38176.0720871071. The cubic root of 1457412480 is about 1133.7766139865.

The spelling of 1457412480 in words is "one billion, four hundred fifty-seven million, four hundred twelve thousand, four hundred eighty".