1601479152 has 540 divisors, whose sum is σ = 6053317920. Its totient is φ = 392491008.

The previous prime is 1601479141. The next prime is 1601479153. The reversal of 1601479152 is 2519741061.

1601479152 is a `hidden beast` number, since 1 + 601 + 47 + 9 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601479153) 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 107 ways as a sum of consecutive naturals, for example, 20271849 + ... + 20271927.

It is an arithmetic number, because the mean of its divisors is an integer number (11209848).

Almost surely, 2^1601479152 is an apocalyptic number.

1601479152 is a gapful number since it is divisible by the number (12) 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 1601479152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026658960).

1601479152 is an abundant number, since it is smaller than the sum of its proper divisors (4451838768).

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

1601479152 is a wasteful number, since it uses less digits than its factorization.

1601479152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1601479152 is about 40018.4851287502. The cubic root of 1601479152 is about 1169.9674064994.

The spelling of 1601479152 in words is "one billion, six hundred one million, four hundred seventy-nine thousand, one hundred fifty-two".