45962280 has 384 divisors, whose sum is σ = 194987520. Its totient is φ = 9123840.

The previous prime is 45962263. The next prime is 45962291. The reversal of 45962280 is 8226954.

It is a happy number.

It is a super-2 number, since 2×45962280² = 4225062365596800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753450 + ... + 753510.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^45962280 is an apocalyptic number.

45962280 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 45962280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

45962280 is an abundant number, since it is smaller than the sum of its proper divisors (149025240).

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

45962280 is a wasteful number, since it uses less digits than its factorization.

45962280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45962280 is about 6779.5486575435. The cubic root of 45962280 is about 358.2068236782.

The spelling of 45962280 in words is "forty-five million, nine hundred sixty-two thousand, two hundred eighty".