454763540 has 192 divisors, whose sum is σ = 1247920128. Its totient is φ = 135129600.

The previous prime is 454763539. The next prime is 454763581. The reversal of 454763540 is 45367454.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 454763494 and 454763503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4415129 + ... + 4415231.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^454763540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454763540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623960064).

454763540 is an abundant number, since it is smaller than the sum of its proper divisors (793156588).

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

454763540 is a wasteful number, since it uses less digits than its factorization.

454763540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The square root of 454763540 is about 21325.1855794973. The cubic root of 454763540 is about 769.0039067872.

The spelling of 454763540 in words is "four hundred fifty-four million, seven hundred sixty-three thousand, five hundred forty".