1464374016 has 432 divisors, whose sum is σ = 5261256000. Its totient is φ = 390168576.

The previous prime is 1464374003. The next prime is 1464374017. The reversal of 1464374016 is 6104734641.

1464374016 is a `hidden beast` number, since 1 + 4 + 643 + 7 + 4 + 0 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1464374017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13434570 + ... + 13434678.

Almost surely, 2^1464374016 is an apocalyptic number.

1464374016 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 1464374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630628000).

1464374016 is an abundant number, since it is smaller than the sum of its proper divisors (3796881984).

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

1464374016 is a wasteful number, since it uses less digits than its factorization.

1464374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1464374016 is about 38267.1401596722. The cubic root of 1464374016 is about 1135.5789618689.

The spelling of 1464374016 in words is "one billion, four hundred sixty-four million, three hundred seventy-four thousand, sixteen".