1453626460 has 72 divisors (see below), whose sum is σ = 3606086736. Its totient is φ = 487918080.

The previous prime is 1453626451. The next prime is 1453626469. The reversal of 1453626460 is 646263541.

It is an interprime number because it is at equal distance from previous prime (1453626451) and next prime (1453626469).

It is a super-2 number, since 2×1453626460² = 4226059770424263200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453626469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17632 + ... + 56728.

It is an arithmetic number, because the mean of its divisors is an integer number (50084538).

Almost surely, 2^1453626460 is an apocalyptic number.

1453626460 is a gapful number since it is divisible by the number (10) 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 1453626460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803043368).

1453626460 is an abundant number, since it is smaller than the sum of its proper divisors (2152460276).

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

1453626460 is a wasteful number, since it uses less digits than its factorization.

1453626460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39143 (or 39128 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 1453626460 is about 38126.4535460617. The cubic root of 1453626460 is about 1132.7939996287.

The spelling of 1453626460 in words is "one billion, four hundred fifty-three million, six hundred twenty-six thousand, four hundred sixty".