461338416 has 480 divisors, whose sum is σ = 1767886848. Its totient is φ = 112907520.

The previous prime is 461338399. The next prime is 461338481. The reversal of 461338416 is 614833164.

It is a happy number.

461338416 is a `hidden beast` number, since 4 + 613 + 38 + 4 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6885615 + ... + 6885681.

Almost surely, 2^461338416 is an apocalyptic number.

461338416 is a gapful number since it is divisible by the number (46) 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 461338416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883943424).

461338416 is an abundant number, since it is smaller than the sum of its proper divisors (1306548432).

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

461338416 is a wasteful number, since it uses less digits than its factorization.

461338416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 461338416 is about 21478.7899100485. The cubic root of 461338416 is about 772.6922209941.

The spelling of 461338416 in words is "four hundred sixty-one million, three hundred thirty-eight thousand, four hundred sixteen".