454973009400 has 1536 divisors, whose sum is σ = 2065367808000. Its totient is φ = 89327370240.

The previous prime is 454973009389. The next prime is 454973009437. The reversal of 454973009400 is 4900379454.

It is a happy number.

454973009400 is a `hidden beast` number, since 45 + 497 + 30 + 0 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 893856346 + ... + 893856854.

It is an arithmetic number, because the mean of its divisors is an integer number (1344640500).

Almost surely, 2^454973009400 is an apocalyptic number.

454973009400 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 454973009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032683904000).

454973009400 is an abundant number, since it is smaller than the sum of its proper divisors (1610394798600).

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

454973009400 is a wasteful number, since it uses less digits than its factorization.

454973009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 454973009400 in words is "four hundred fifty-four billion, nine hundred seventy-three million, nine thousand, four hundred".