1450521864 has 384 divisors, whose sum is σ = 4902912000. Its totient is φ = 395176320.

The previous prime is 1450521847. The next prime is 1450521869. The reversal of 1450521864 is 4681250541.

It is a happy number.

1450521864 is a `hidden beast` number, since 1 + 4 + 50 + 521 + 86 + 4 = 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 (1450521869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11421369 + ... + 11421495.

It is an arithmetic number, because the mean of its divisors is an integer number (12768000).

Almost surely, 2^1450521864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450521864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451456000).

1450521864 is an abundant number, since it is smaller than the sum of its proper divisors (3452390136).

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

1450521864 is a wasteful number, since it uses less digits than its factorization.

1450521864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1450521864 is about 38085.7173229020. The cubic root of 1450521864 is about 1131.9869664329.

The spelling of 1450521864 in words is "one billion, four hundred fifty million, five hundred twenty-one thousand, eight hundred sixty-four".