1454909040 has 560 divisors, whose sum is σ = 5806190880. Its totient is φ = 335923200.

The previous prime is 1454909023. The next prime is 1454909051. The reversal of 1454909040 is 409094541.

It is a happy number.

1454909040 is a `hidden beast` number, since 1 + 45 + 490 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1454908986 and 1454909004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14404990 + ... + 14405090.

It is an arithmetic number, because the mean of its divisors is an integer number (10368198).

Almost surely, 2^1454909040 is an apocalyptic number.

1454909040 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 1454909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903095440).

1454909040 is an abundant number, since it is smaller than the sum of its proper divisors (4351281840).

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

1454909040 is a wasteful number, since it uses less digits than its factorization.

1454909040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1454909040 is about 38143.2699175097. The cubic root of 1454909040 is about 1133.1270681909.

The spelling of 1454909040 in words is "one billion, four hundred fifty-four million, nine hundred nine thousand, forty".