461289738240 has 468 divisors, whose sum is σ = 1660839629124. Its totient is φ = 122974765056.

The previous prime is 461289738229. The next prime is 461289738253. The reversal of 461289738240 is 42837982164.

461289738240 is a `hidden beast` number, since 461 + 28 + 97 + 38 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159335092224 + 301954646016 = 399168^2 + 549504^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134367564 + ... + 134370996.

Almost surely, 2^461289738240 is an apocalyptic number.

461289738240 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 461289738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830419814562).

461289738240 is an abundant number, since it is smaller than the sum of its proper divisors (1199549890884).

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

461289738240 is an frugal number, since it uses more digits than its factorization.

461289738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 461289738240 in words is "four hundred sixty-one billion, two hundred eighty-nine million, seven hundred thirty-eight thousand, two hundred forty".