454162772400 has 240 divisors, whose sum is σ = 1541570083200. Its totient is φ = 113900359680.

The previous prime is 454162772369. The next prime is 454162772467. The reversal of 454162772400 is 4277261454.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29755971 + ... + 29771229.

It is an arithmetic number, because the mean of its divisors is an integer number (6423208680).

Almost surely, 2^454162772400 is an apocalyptic number.

454162772400 is a gapful number since it is divisible by the number (40) 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 454162772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770785041600).

454162772400 is an abundant number, since it is smaller than the sum of its proper divisors (1087407310800).

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

454162772400 is a wasteful number, since it uses less digits than its factorization.

454162772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756 (or 16745 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 454162772400 in words is "four hundred fifty-four billion, one hundred sixty-two million, seven hundred seventy-two thousand, four hundred".