40302900 has 288 divisors, whose sum is σ = 149990400. Its totient is φ = 9187200.

The previous prime is 40302887. The next prime is 40302901. The reversal of 40302900 is 920304.

40302900 = 23² + 24² + ... + 494².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40302901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683071 + ... + 683129.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^40302900 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 40302900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

40302900 is an abundant number, since it is smaller than the sum of its proper divisors (109687500).

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

40302900 is a wasteful number, since it uses less digits than its factorization.

40302900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 40302900 is about 6348.4565053247. The cubic root of 40302900 is about 342.8562723192.

The spelling of 40302900 in words is "forty million, three hundred two thousand, nine hundred".