40472080 has 120 divisors (see below), whose sum is σ = 107165016. Its totient is φ = 14192640.

The previous prime is 40472051. The next prime is 40472093. The reversal of 40472080 is 8027404.

40472080 = 148² + 149² + ... + 499².

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 38489616 = 1408^2 + 6204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358104 + ... + 358216.

Almost surely, 2^40472080 is an apocalyptic number.

40472080 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 40472080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53582508).

40472080 is an abundant number, since it is smaller than the sum of its proper divisors (66692936).

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

40472080 is a wasteful number, since it uses less digits than its factorization.

40472080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 40472080 is about 6361.7670501206. The cubic root of 40472080 is about 343.3353400036.

Adding to 40472080 its reverse (8027404), we get a palindrome (48499484).

The spelling of 40472080 in words is "forty million, four hundred seventy-two thousand, eighty".