405454000 has 80 divisors (see below), whose sum is σ = 1120481856. Its totient is φ = 139008000.

The previous prime is 405453989. The next prime is 405454003. The reversal of 405454000 is 454504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×405454000² = 328785892232000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405454003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481 + ... + 28480.

Almost surely, 2^405454000 is an apocalyptic number.

405454000 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 405454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560240928).

405454000 is an abundant number, since it is smaller than the sum of its proper divisors (715027856).

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

405454000 is a wasteful number, since it uses less digits than its factorization.

405454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28991 (or 28975 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 405454000 is about 20135.8883588482. Note that the first 3 decimals coincide. The cubic root of 405454000 is about 740.1399783898.

The spelling of 405454000 in words is "four hundred five million, four hundred fifty-four thousand".