1672429248 has 336 divisors, whose sum is σ = 5945794560. Its totient is φ = 451505664.

The previous prime is 1672429243. The next prime is 1672429249. The reversal of 1672429248 is 8429242761.

1672429248 is a `hidden beast` number, since 167 + 242 + 9 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1672429243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366465 + ... + 4366847.

Almost surely, 2^1672429248 is an apocalyptic number.

1672429248 is a gapful number since it is divisible by the number (18) 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 1672429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972897280).

1672429248 is an abundant number, since it is smaller than the sum of its proper divisors (4273365312).

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

1672429248 is a wasteful number, since it uses less digits than its factorization.

1672429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1672429248 is about 40895.3450651783. The cubic root of 1672429248 is about 1186.9959887792.

The spelling of 1672429248 in words is "one billion, six hundred seventy-two million, four hundred twenty-nine thousand, two hundred forty-eight".