146797456 has 45 divisors (see below), whose sum is σ = 309308979. Its totient is φ = 67461888.

The previous prime is 146797451. The next prime is 146797459. The reversal of 146797456 is 654797641.

The square root of 146797456 is 12116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 62157456 + 84640000 = 7884^2 + 9200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146797451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 629916 + ... + 630148.

Almost surely, 2^146797456 is an apocalyptic number.

146797456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146797456 is the 12116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146797456

146797456 is an abundant number, since it is smaller than the sum of its proper divisors (162511523).

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

146797456 is an equidigital number, since it uses as much as digits as its factorization.

146797456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 248 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The cubic root of 146797456 is about 527.5207044725.

Multiplying 146797456 by its sum of digits (49), we get a square (7193075344 = 84812²).

The spelling of 146797456 in words is "one hundred forty-six million, seven hundred ninety-seven thousand, four hundred fifty-six".