40458480 has 80 divisors (see below), whose sum is σ = 129768480. Its totient is φ = 10415104.

The previous prime is 40458463. The next prime is 40458497. The reversal of 40458480 is 8485404.

It is an interprime number because it is at equal distance from previous prime (40458463) and next prime (40458497).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054 + ... + 9866.

It is an arithmetic number, because the mean of its divisors is an integer number (1622106).

Almost surely, 2^40458480 is an apocalyptic number.

40458480 is a gapful number since it is divisible by the number (40) 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 40458480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64884240).

40458480 is an abundant number, since it is smaller than the sum of its proper divisors (89310000).

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

40458480 is a wasteful number, since it uses less digits than its factorization.

40458480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 40458480 is about 6360.6980748971. The cubic root of 40458480 is about 343.2968782315.

The spelling of 40458480 in words is "forty million, four hundred fifty-eight thousand, four hundred eighty".