461261400 has 96 divisors (see below), whose sum is σ = 1476096000. Its totient is φ = 119030400.

The previous prime is 461261393. The next prime is 461261407. The reversal of 461261400 is 4162164.

It is an interprime number because it is at equal distance from previous prime (461261393) and next prime (461261407).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461261407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6201 + ... + 30999.

It is an arithmetic number, because the mean of its divisors is an integer number (15376000).

Almost surely, 2^461261400 is an apocalyptic number.

461261400 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 461261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738048000).

461261400 is an abundant number, since it is smaller than the sum of its proper divisors (1014834600).

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

461261400 is a wasteful number, since it uses less digits than its factorization.

461261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24849 (or 24840 counting only the distinct ones).

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

The square root of 461261400 is about 21476.9969967871. The cubic root of 461261400 is about 772.6492207627.

The spelling of 461261400 in words is "four hundred sixty-one million, two hundred sixty-one thousand, four hundred".