461400000 has 168 divisors, whose sum is σ = 1527870960. Its totient is φ = 122880000.

The previous prime is 461399959. The next prime is 461400011. The reversal of 461400000 is 4164.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 599616 + ... + 600384.

It is an arithmetic number, because the mean of its divisors is an integer number (9094470).

Almost surely, 2^461400000 is an apocalyptic number.

461400000 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 461400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763935480).

461400000 is an abundant number, since it is smaller than the sum of its proper divisors (1066470960).

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

461400000 is an frugal number, since it uses more digits than its factorization.

461400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 461400000 is about 21480.2234625248. The cubic root of 461400000 is about 772.7266016561.

Adding to 461400000 its reverse (4164), we get a palindrome (461404164).

The spelling of 461400000 in words is "four hundred sixty-one million, four hundred thousand".