4561457400 has 72 divisors (see below), whose sum is σ = 15318900480. Its totient is φ = 1216388160.

The previous prime is 4561457399. The next prime is 4561457413. The reversal of 4561457400 is 47541654.

4561457400 is a `hidden beast` number, since 4 + 561 + 4 + 57 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4561457400² = 41613787224029520000, 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 17 ways as a sum of consecutive naturals, for example, 1265272 + ... + 1268871.

Almost surely, 2^4561457400 is an apocalyptic number.

4561457400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4561457400 is an abundant number, since it is smaller than the sum of its proper divisors (10757443080).

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

4561457400 is a wasteful number, since it uses less digits than its factorization.

4561457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534165 (or 2534153 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4561457400 is about 67538.5623181305. The cubic root of 4561457400 is about 1658.4455133717.

The spelling of 4561457400 in words is "four billion, five hundred sixty-one million, four hundred fifty-seven thousand, four hundred".