461787408 has 180 divisors, whose sum is σ = 1383018624. Its totient is φ = 143740800.

The previous prime is 461787401. The next prime is 461787409. The reversal of 461787408 is 804787164.

It is a super-2 number, since 2×461787408² = 426495220374716928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461787401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6504013 + ... + 6504083.

Almost surely, 2^461787408 is an apocalyptic number.

461787408 is a gapful number since it is divisible by the number (48) 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 461787408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691509312).

461787408 is an abundant number, since it is smaller than the sum of its proper divisors (921231216).

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

461787408 is a wasteful number, since it uses less digits than its factorization.

461787408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 461787408 is about 21489.2393536858. The cubic root of 461787408 is about 772.9428108179.

The spelling of 461787408 in words is "four hundred sixty-one million, seven hundred eighty-seven thousand, four hundred eight".