5462457000 has 1024 divisors, whose sum is σ = 24455208960. Its totient is φ = 976896000.

The previous prime is 5462456977. The next prime is 5462457113. The reversal of 5462457000 is 7542645.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51050947 + ... + 51051053.

It is an arithmetic number, because the mean of its divisors is an integer number (23882040).

Almost surely, 2^5462457000 is an apocalyptic number.

5462457000 is a gapful number since it is divisible by the number (50) 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 5462457000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227604480).

5462457000 is an abundant number, since it is smaller than the sum of its proper divisors (18992751960).

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

5462457000 is a wasteful number, since it uses less digits than its factorization.

5462457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 5462457000 is about 73908.4365955606. The cubic root of 5462457000 is about 1761.1486346693.

Adding to 5462457000 its reverse (7542645), we get a palindrome (5469999645).

The spelling of 5462457000 in words is "five billion, four hundred sixty-two million, four hundred fifty-seven thousand".