1457462400 has 192 divisors, whose sum is σ = 4836089280. Its totient is φ = 385781760.

The previous prime is 1457462351. The next prime is 1457462417. The reversal of 1457462400 is 42647541.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506717 + ... + 1507683.

It is an arithmetic number, because the mean of its divisors is an integer number (25187965).

Almost surely, 2^1457462400 is an apocalyptic number.

1457462400 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 1457462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418044640).

1457462400 is an abundant number, since it is smaller than the sum of its proper divisors (3378626880).

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

1457462400 is a wasteful number, since it uses less digits than its factorization.

1457462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1457462400 is about 38176.7258941885. The cubic root of 1457462400 is about 1133.7895587278.

The spelling of 1457462400 in words is "one billion, four hundred fifty-seven million, four hundred sixty-two thousand, four hundred".