454348440 has 640 divisors, whose sum is σ = 1990517760. Its totient is φ = 90326016.

The previous prime is 454348339. The next prime is 454348459. The reversal of 454348440 is 44843454.

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

It is a junction number, because it is equal to n+sod(n) for n = 454348395 and 454348404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6781287 + ... + 6781353.

It is an arithmetic number, because the mean of its divisors is an integer number (3110184).

Almost surely, 2^454348440 is an apocalyptic number.

454348440 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 454348440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995258880).

454348440 is an abundant number, since it is smaller than the sum of its proper divisors (1536169320).

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

454348440 is a wasteful number, since it uses less digits than its factorization.

454348440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 454348440 is about 21315.4507341506. The cubic root of 454348440 is about 768.7698579046.

The spelling of 454348440 in words is "four hundred fifty-four million, three hundred forty-eight thousand, four hundred forty".