1457529216 has 384 divisors, whose sum is σ = 4862054400. Its totient is φ = 383201280.

The previous prime is 1457529209. The next prime is 1457529217. The reversal of 1457529216 is 6129257541.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (151200) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457529217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11476545 + ... + 11476671.

It is an arithmetic number, because the mean of its divisors is an integer number (12661600).

Almost surely, 2^1457529216 is an apocalyptic number.

1457529216 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 1457529216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431027200).

1457529216 is an abundant number, since it is smaller than the sum of its proper divisors (3404525184).

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

1457529216 is a wasteful number, since it uses less digits than its factorization.

1457529216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 1457529216 is about 38177.6009722979. The cubic root of 1457529216 is about 1133.8068843035.

The spelling of 1457529216 in words is "one billion, four hundred fifty-seven million, five hundred twenty-nine thousand, two hundred sixteen".