454220928 has 384 divisors, whose sum is σ = 1629388800. Its totient is φ = 118609920.

The previous prime is 454220927. The next prime is 454220953. The reversal of 454220928 is 829022454.

454220928 is a `hidden beast` number, since 4 + 542 + 20 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 454220892 and 454220901.

It is not an unprimeable number, because it can be changed into a prime (454220927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5749593 + ... + 5749671.

It is an arithmetic number, because the mean of its divisors is an integer number (4243200).

Almost surely, 2^454220928 is an apocalyptic number.

454220928 is a gapful number since it is divisible by the number (48) 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 454220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814694400).

454220928 is an abundant number, since it is smaller than the sum of its proper divisors (1175167872).

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

454220928 is a wasteful number, since it uses less digits than its factorization.

454220928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 454220928 is about 21312.4594545069. The cubic root of 454220928 is about 768.6979332573.

The spelling of 454220928 in words is "four hundred fifty-four million, two hundred twenty thousand, nine hundred twenty-eight".