1672455456 has 216 divisors, whose sum is σ = 5712505344. Its totient is φ = 462309120.

The previous prime is 1672455451. The next prime is 1672455497. The reversal of 1672455456 is 6545542761.

1672455456 is a `hidden beast` number, since 1 + 67 + 2 + 45 + 545 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1672455451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435561 + ... + 439383.

It is an arithmetic number, because the mean of its divisors is an integer number (26446784).

Almost surely, 2^1672455456 is an apocalyptic number.

1672455456 is a gapful number since it is divisible by the number (16) 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 1672455456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856252672).

1672455456 is an abundant number, since it is smaller than the sum of its proper divisors (4040049888).

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

1672455456 is a wasteful number, since it uses less digits than its factorization.

1672455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3866 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 1672455456 is about 40895.6654915897. The cubic root of 1672455456 is about 1187.0021890671.

The spelling of 1672455456 in words is "one billion, six hundred seventy-two million, four hundred fifty-five thousand, four hundred fifty-six".