461377152 has 192 divisors, whose sum is σ = 1417759200. Its totient is φ = 143603712.

The previous prime is 461377151. The next prime is 461377177. The reversal of 461377152 is 251773164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×461377152² = 425737752775262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (461377151) 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, 2341918 + ... + 2342114.

Almost surely, 2^461377152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708879600).

461377152 is an abundant number, since it is smaller than the sum of its proper divisors (956382048).

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

461377152 is a wasteful number, since it uses less digits than its factorization.

461377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 461377152 is about 21479.6916178981. The cubic root of 461377152 is about 772.7138465999.

The spelling of 461377152 in words is "four hundred sixty-one million, three hundred seventy-seven thousand, one hundred fifty-two".