1453406640 has 240 divisors, whose sum is σ = 5316097248. Its totient is φ = 327462912.

The previous prime is 1453406627. The next prime is 1453406671. The reversal of 1453406640 is 466043541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1453406640² = 4224781722392179200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857634 + ... + 859326.

Almost surely, 2^1453406640 is an apocalyptic number.

1453406640 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 1453406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658048624).

1453406640 is an abundant number, since it is smaller than the sum of its proper divisors (3862690608).

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

1453406640 is a wasteful number, since it uses less digits than its factorization.

1453406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 1453406640 is about 38123.5706617310. The cubic root of 1453406640 is about 1132.7368957035.

The spelling of 1453406640 in words is "one billion, four hundred fifty-three million, four hundred six thousand, six hundred forty".