30454406460 has 192 divisors, whose sum is σ = 96383831040. Its totient is φ = 7981459200.

The previous prime is 30454406459. The next prime is 30454406497. The reversal of 30454406460 is 6460445403.

30454406460 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 4 + 4 + 0 + 646 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23407810 + ... + 23409110.

It is an arithmetic number, because the mean of its divisors is an integer number (501999120).

Almost surely, 2^30454406460 is an apocalyptic number.

30454406460 is a gapful number since it is divisible by the number (30) 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 30454406460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48191915520).

30454406460 is an abundant number, since it is smaller than the sum of its proper divisors (65929424580).

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

30454406460 is a wasteful number, since it uses less digits than its factorization.

30454406460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 30454406460 in words is "thirty billion, four hundred fifty-four million, four hundred six thousand, four hundred sixty".