1613472000 has 432 divisors, whose sum is σ = 6252285312. Its totient is φ = 368793600.

The previous prime is 1613471983. The next prime is 1613472013. The reversal of 1613472000 is 2743161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230495997 + ... + 230496003.

Almost surely, 2^1613472000 is an apocalyptic number.

1613472000 is a gapful number since it is divisible by the number (10) 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 1613472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126142656).

1613472000 is an abundant number, since it is smaller than the sum of its proper divisors (4638813312).

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

1613472000 is an frugal number, since it uses more digits than its factorization.

1613472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1613472000 is about 40168.0470025616. The cubic root of 1613472000 is about 1172.8806219536.

Multiplying 1613472000 by its product of nonzero digits (1008), we get a cube (1626379776000 = 11760³).

The spelling of 1613472000 in words is "one billion, six hundred thirteen million, four hundred seventy-two thousand".