461498493456 has 1440 divisors, whose sum is σ = 1855674562560. Its totient is φ = 104011776000.

The previous prime is 461498493439. The next prime is 461498493457. The reversal of 461498493456 is 654394894164.

It is a happy number.

461498493456 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 98 + 4 + 93 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 461498493393 and 461498493402.

It is not an unprimeable number, because it can be changed into a prime (461498493457) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2015277150 + ... + 2015277378.

Almost surely, 2^461498493456 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 461498493456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927837281280).

461498493456 is an abundant number, since it is smaller than the sum of its proper divisors (1394176069104).

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

461498493456 is a wasteful number, since it uses less digits than its factorization.

461498493456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 337 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 461498493456 in words is "four hundred sixty-one billion, four hundred ninety-eight million, four hundred ninety-three thousand, four hundred fifty-six".