461126400 has 432 divisors, whose sum is σ = 1800551424. Its totient is φ = 101744640.

The previous prime is 461126387. The next prime is 461126401. The reversal of 461126400 is 4621164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (461126401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6316764 + ... + 6316836.

Almost surely, 2^461126400 is an apocalyptic number.

461126400 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 461126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900275712).

461126400 is an abundant number, since it is smaller than the sum of its proper divisors (1339425024).

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

461126400 is a wasteful number, since it uses less digits than its factorization.

461126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 461126400 is about 21473.8538692988. The cubic root of 461126400 is about 772.5738348589.

Adding to 461126400 its reverse (4621164), we get a palindrome (465747564).

The spelling of 461126400 in words is "four hundred sixty-one million, one hundred twenty-six thousand, four hundred".