1601467200 has 294 divisors, whose sum is σ = 5912515734. Its totient is φ = 426746880.

The previous prime is 1601467177. The next prime is 1601467213. The reversal of 1601467200 is 27641061.

It can be written as a sum of positive squares in 3 ways, for example, as 494973504 + 1106493696 = 22248^2 + 33264^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1165714 + ... + 1167086.

Almost surely, 2^1601467200 is an apocalyptic number.

1601467200 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 1601467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956257867).

1601467200 is an abundant number, since it is smaller than the sum of its proper divisors (4311048534).

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

1601467200 is an equidigital number, since it uses as much as digits as its factorization.

1601467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1601467200 is about 40018.3357974816. The cubic root of 1601467200 is about 1169.9644959640.

The spelling of 1601467200 in words is "one billion, six hundred one million, four hundred sixty-seven thousand, two hundred".