457214630400 has 960 divisors, whose sum is σ = 1847127490560. Its totient is φ = 109851033600.

The previous prime is 457214630377. The next prime is 457214630407. The reversal of 457214630400 is 4036412754.

457214630400 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 14 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (457214630407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482802727 + ... + 482803673.

It is an arithmetic number, because the mean of its divisors is an integer number (1924091136).

Almost surely, 2^457214630400 is an apocalyptic number.

457214630400 is a gapful number since it is divisible by the number (40) 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 457214630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923563745280).

457214630400 is an abundant number, since it is smaller than the sum of its proper divisors (1389912860160).

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

457214630400 is a wasteful number, since it uses less digits than its factorization.

457214630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 457214630400 in words is "four hundred fifty-seven billion, two hundred fourteen million, six hundred thirty thousand, four hundred".