495573120 has 512 divisors, whose sum is σ = 2132697600. Its totient is φ = 106168320.

The previous prime is 495573101. The next prime is 495573149. The reversal of 495573120 is 21375594.

495573120 = T₅₃₀₄ + T₅₃₀₅ + ... + T₅₃₃₈.

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

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, 2056200 + ... + 2056440.

It is an arithmetic number, because the mean of its divisors is an integer number (4165425).

Almost surely, 2^495573120 is an apocalyptic number.

495573120 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 495573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066348800).

495573120 is an abundant number, since it is smaller than the sum of its proper divisors (1637124480).

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

495573120 is a wasteful number, since it uses less digits than its factorization.

495573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 495573120 is about 22261.4716494665. The cubic root of 495573120 is about 791.3511674063.

The spelling of 495573120 in words is "four hundred ninety-five million, five hundred seventy-three thousand, one hundred twenty".